A veces le doy un sorbo al té caliente y sigo estudiando.

A veces means sometimes. It is a very common time expression and often goes at the beginning of the sentence to set the scene.

• A veces le doy un sorbo... = Sometimes I take a sip...
• You could also place it later, but sentence-initial position is very natural.

It does not mean to times literally here. The expression is fixed: a veces = sometimes.

The le is an indirect object pronoun. In this sentence, it refers to al té caliente.

Spanish often uses an indirect object pronoun with verbs like dar even when the full noun is also stated:

• Le doy un sorbo al té.
• Literally: I give a sip to the tea.
• Natural English: I take a sip of the tea.

So le and al té caliente both point to the same thing. This doubling is very common in Spanish.

Good question. With dar, Spanish grammar treats the receiver as an indirect object, whether it is a person or a thing.

In le doy un sorbo al té, the tea is the thing receiving the sip, so Spanish uses le.

This may sound strange from an English point of view, because English would normally say:

• I take a sip of the tea

But Spanish structures it more like:

• I give a sip to the tea

So le is correct here.

Dar un sorbo is a common expression meaning to take a sip.

Word by word, it looks like:

• dar = to give
• un sorbo = a sip

But you should learn the whole expression as a chunk:

• dar un sorbo = take a sip
• dar un trago = take a gulp / drink
• beber = to drink

So le doy un sorbo al té caliente means something like I take a sip of the hot tea.

Yes, but it means something slightly different.

• Bebo el té caliente = I drink the hot tea
• Le doy un sorbo al té caliente = I take a sip of the hot tea

The original sentence focuses on one sip, not the whole action of drinking it. So dar un sorbo is more specific.

Because a + el contracts to al in Spanish.

So:

• a + el té → al té

This contraction is required, except with the article in some proper names like a El Escorial.

Here:

• dar un sorbo al té caliente
• not dar un sorbo a el té caliente

In Spanish, most descriptive adjectives usually come after the noun.

So:

• té caliente = hot tea
• café frío = cold coffee
• libro interesante = interesting book

Putting caliente after the noun is the normal, neutral order.

Because seguir is commonly followed by a gerund to mean to keep / continue doing something.

So:

• sigo estudiando = I keep studying / I continue studying

This is the standard pattern:

• seguir + gerund
• sigo leyendo = I keep reading
• sigue hablando = he/she keeps talking

You do not use a + infinitive after seguir in this meaning.

It is the present tense of seguir plus a gerund:

• sigo = I continue / I keep going
• estudiando = studying

Together, sigo estudiando means:

• I keep studying
• I continue studying

It is not exactly the same as the English present continuous I am studying, although in some contexts it may feel similar. The key idea here is continuation.

Spanish often leaves out subject pronouns when they are clear from the verb form.

• doy already means I give
• sigo already means I continue

So yo is unnecessary unless you want emphasis or contrast.

For example:

• A veces le doy un sorbo... = normal
• Yo a veces le doy un sorbo... = more emphatic, like I sometimes take a sip...

The accent distinguishes té (tea) from te (you, indirect/direct object pronoun in some contexts).

Compare:

• té = tea
• te = you

So the accent is important for meaning.

Yes. Y means and, and it links the two actions in sequence:

• A veces le doy un sorbo al té caliente
• y sigo estudiando

This gives the sense:

1. I take a sip of the hot tea
2. then I continue studying

It sounds very natural in Spanish to connect actions this way.

In this exact sentence, le refers to al té caliente, because that phrase is present and matches the structure with dar un sorbo.

But in other sentences, le can absolutely refer to a person:

• Le doy el libro a Ana = I give Ana the book

So le itself does not tell you whether it is a person or a thing; the rest of the sentence does.

Yes, it is natural and correct in Spain Spanish.

A speaker in Spain would understand it easily, and the wording sounds normal:

• A veces = common way to say sometimes
• dar un sorbo = natural expression
• seguir + gerund = very common structure

A speaker might also say me doy un sorbo de té in some contexts, but the original sentence is perfectly fine and natural.