У бабушки на даче есть старый камин, и зимой возле него особенно уютно греться.

It can suggest both, depending on how you understand the whole sentence.

In Russian, у + genitive is often used to express possession:

• У бабушки есть камин = Grandma has a fireplace

But у бабушки can also literally mean at Grandma’s place or by Grandma in the right context.

So in:

У бабушки на даче есть старый камин

the most natural English rendering is:

• Grandma has an old fireplace at her dacha
• or There is an old fireplace at Grandma’s dacha

Here бабушки is in the genitive case because it follows у.

Russian uses different prepositions with different places, and with дача the usual choice is на.

So:

• на даче = at the dacha / at the country house

This is just the normal idiomatic pattern in Russian, similar to:

• на работе = at work
• на почте = at the post office

Even though English often uses in or at, Russian does not always match it directly. Here, learners usually just need to memorize that the natural phrase is на даче.

Since на here means location, даче is in the prepositional case.

That is a very common question. Russian usually omits the present-tense verb to be when linking a subject and description:

• Он дома = He is at home
• Она врач = She is a doctor

But есть in sentences like this does not work like the English is. It is used to mean there is / there are / has in the sense of existence or presence.

So:

• У бабушки на даче есть старый камин = Grandma has an old fireplace at her dacha
• literally: At Grandma’s dacha there exists an old fireplace

If you removed есть, the sentence would sound incomplete or unnatural in this meaning.

Because it is the thing that exists in the sentence — the grammatical subject of the existential construction.

In:

У бабушки на даче есть старый камин

the structure is basically:

• у бабушки = Grandma has / at Grandma’s
• на даче = at the dacha
• есть = there is
• старый камин = an old fireplace

So старый камин stays in the nominative case.

Зимой means in winter.

It comes from зима and is in the instrumental case. In Russian, seasons and some time expressions are often put in the instrumental to mean during that season or time period:

• зимой = in winter
• летом = in summer
• осенью = in autumn
• весной = in spring

So this is a very common adverbial time expression. You should learn зимой as a set phrase meaning in winter.

Because after prepositions, Russian personal pronouns often take a special form beginning with н-.

The preposition возле means near / beside, and it requires the genitive case.

The pronoun он becomes:

• его = him / his
• but after many prepositions: него

So:

• возле него = near it / near him

In this sentence, него refers to камин (fireplace), which is masculine, so него means near it.

Similar examples:

• у него = with him / he has
• для него = for him
• без него = without him

Особенно means especially, particularly, or above all.

In this sentence:

...и зимой возле него особенно уютно греться

it emphasizes that warming oneself there is especially cozy in winter.

So the idea is not just it is cozy, but it is particularly cozy in winter.

Because уютно here is not describing a noun. It is functioning as an impersonal predicative adverb, meaning something like:

• it is cozy
• it feels cozy
• it is pleasant and snug

Russian often uses words like this in impersonal constructions:

• холодно = it is cold
• тепло = it is warm
• приятно = it is pleasant
• уютно = it is cozy

So:

возле него особенно уютно греться

literally means something like:

• near it, it is especially cozy to warm oneself

In natural English: it’s especially cozy to warm yourself by it.

Because греться means to warm oneself, to get warm, or to bask in warmth.

Compare:

• греть = to warm something
• греться = to warm oneself / to get warm

Examples:

• греть руки = to warm one’s hands
• греться у камина = to warm oneself by the fireplace

So in this sentence, the person is not heating the fireplace; they are enjoying its warmth.

This is a common Russian structure:

• [predicative word] + infinitive

It expresses that an action is pleasant, easy, hard, strange, useful, etc.

Examples:

• приятно отдыхать = it is pleasant to rest
• трудно понять = it is hard to understand
• полезно читать = it is useful to read
• уютно греться = it is cozy to warm oneself

So:

зимой возле него особенно уютно греться

means:

• In winter, it is especially cozy to warm yourself by it

Yes, you can think of the sentence as having an implicit general subject.

Russian often leaves out the person experiencing something if it is general or obvious from context. So:

особенно уютно греться

can imply:

• мне особенно уютно греться = it is especially cozy for me to warm myself
• нам особенно уютно греться = it is especially cozy for us to warm ourselves
• or just a general statement: it is especially cozy to warm oneself

So the sentence sounds natural and general without naming exactly who is warming themselves.

Because и here joins two clauses:

1. У бабушки на даче есть старый камин
2. зимой возле него особенно уютно греться

The first clause has the predicate есть.
The second is an impersonal clause built around уютно греться.

Since these are two coordinated parts of a compound sentence, a comma before и is normal.

Yes. Russian word order is flexible, though each version may shift the emphasis.

Original:

У бабушки на даче есть старый камин, и зимой возле него особенно уютно греться.

This sounds natural and balanced:

• first introduces the fireplace,
• then comments on how pleasant it is in winter.

Other possible versions might be:

• На даче у бабушки есть старый камин...
• Зимой возле него особенно уютно греться.

These are still understandable, but the original order is very natural because it first sets the location and possession, then introduces the fireplace, then gives the cozy detail.

Yes, камин specifically means a fireplace.

A stove would usually be:

• печь = stove / oven / traditional Russian stove

So старый камин means an old fireplace, probably something decorative and warm to sit near.

A natural translation would be:

• Grandma has an old fireplace at her dacha, and in winter it’s especially cozy to warm yourself by it.

Other good translations are:

• There’s an old fireplace at Grandma’s dacha, and in winter it’s especially cozy to sit by it and warm up.
• At Grandma’s country house there is an old fireplace, and in winter it’s especially cozy to warm yourself near it.

The exact English wording can vary, but the grammar and feeling of the Russian sentence stay the same.