Η λέσχη είναι κοντά στη βιβλιοθήκη.

Because λέσχη is a feminine singular noun, and Greek normally uses the definite article with nouns much more often than English does.

• η λέσχη = the club
• η is the feminine singular nominative form of the

In this sentence, η λέσχη is the subject, so it appears in the nominative case.

είναι means is.

It is the 3rd person singular form of the verb είμαι = to be.

So:

• Η λέσχη είναι κοντά... = The club is near...

In a normal full sentence like this, yes, you use είναι. Greek does not usually drop to be in this kind of statement the way some other languages do.

In this sentence, κοντά means near / close.

It is often treated as an adverb or a preposition-like word. On its own, it can mean nearby:

• Η λέσχη είναι κοντά. = The club is nearby.

When you want to say what something is near, Greek commonly uses:

• κοντά σε + noun
• κοντά στο/στη/στον... = contracted forms of σε + article

So here:

• κοντά στη βιβλιοθήκη = near the library

Because στη is the normal contraction of:

• σε + τη = στη

This is very common in Greek.

Other common contractions are:

• σε + το = στο
• σε + τον = στον
• σε + την = στην
  (in modern everyday Greek, στη is also very common before feminine nouns)

So:

• κοντά στη βιβλιοθήκη literally contains σε
  • the

It is in the accusative case, because after σε Greek normally uses the accusative.

So the full underlying structure is:

• κοντά σε τη βιβλιοθήκη
• contracted: κοντά στη βιβλιοθήκη

For this noun, the nominative and accusative singular look the same:

• nominative: η βιβλιοθήκη
• accusative: τη βιβλιοθήκη

So the article changes, but the noun form itself stays the same.

Yes. The ending -η often signals a feminine noun in Greek.

Both of these are feminine:

• η λέσχη
• η βιβλιοθήκη

That helps explain why the feminine article appears with both nouns:

• η λέσχη = nominative feminine singular
• στη βιβλιοθήκη = σε + τη, where τη is the feminine accusative article

So the -η ending is a useful clue, though not every feminine noun follows exactly the same pattern.

Usually it means club, especially in the sense of an association, society, or organized group.

Depending on context, λέσχη can refer to things like:

• a social club
• a student club
• an association
• a members' club

So it often overlaps with English club, but the exact nuance depends on context.

Yes, Greek word order is fairly flexible.

The neutral, standard order here is:

• Η λέσχη είναι κοντά στη βιβλιοθήκη.

But other orders are possible for emphasis, for example:

• Κοντά στη βιβλιοθήκη είναι η λέσχη.
• Η λέσχη κοντά στη βιβλιοθήκη είναι.
  This is less neutral and more marked.

For learners, the original sentence is the best basic pattern to use.

A rough pronunciation guide is:

• Η → ee
• λέσχη → LEH-skhee
• είναι → EE-ne
• κοντά → kon-DA
• στη → stee
• βιβλιοθήκη → vee-vlee-o-THEE-kee

A few useful pronunciation notes:

• η, ι, υ, ει, οι are all pronounced like ee in modern Greek.
• θ sounds like th in think.
• χ here sounds like a soft German-style sound, somewhat like the ch in German ich. English does not have an exact equivalent.
• The written accent mark shows the stressed syllable:
  • λέσχη
  • κοντά
  • βιβλιοθήκη

In Greek, the accent mark shows which syllable is stressed.

In this sentence:

• λέσχη → stress on λέ
• κοντά → stress on τά
• βιβλιοθήκη → stress on θή

Some words, especially certain very common function words, may appear without a written accent in this context, such as η and στη.

For a learner, the accent mark is very important because stress is part of correct pronunciation.

Yes. You may see both:

• κοντά στη βιβλιοθήκη
• κοντά στην βιβλιοθήκη

In modern Greek, στη is extremely common and natural.
The form στην may appear especially before words beginning with a vowel or for clarity in some styles.

With βιβλιοθήκη, στη βιβλιοθήκη is the most common everyday form.

A very useful pattern is:

• [subject] + είναι + κοντά σε / στο / στη / στον + place

For example:

• Το σχολείο είναι κοντά στο μουσείο. = The school is near the museum.
• Η τράπεζα είναι κοντά στο ξενοδοχείο. = The bank is near the hotel.
• Το σπίτι είναι κοντά στη θάλασσα. = The house is near the sea.

So your sentence is a great model for talking about location.