Αν είσαι λυπημένη, θα σε αγκαλιάσω.

Αν means if. It introduces a condition:

Αν είσαι λυπημένη = if you are sad

This is a very common Greek pattern:

αν + present tense, then θα + verb in the main clause

So the structure is:

If X happens / is true, Y will happen.

Είσαι is the 2nd person singular form of είμαι (to be), so it means you are.

It is used because the speaker is talking to one person informally.

• είμαι = I am
• είσαι = you are
• είναι = he/she/it is

If the speaker were addressing more than one person, or using the polite/formal you, Greek would use είστε instead.

Because λυπημένη is feminine singular.

Greek adjectives must agree with the person they describe in gender and number. So here, the speaker is talking to a female person.

• λυπημένος = sad, masculine singular
• λυπημένη = sad, feminine singular
• λυπημένο = sad, neuter singular

So:

• to a man: Αν είσαι λυπημένος...
• to a woman: Αν είσαι λυπημένη...

This is something English speakers often notice because English adjectives do not change like this.

Yes, it is functioning as an adjective, meaning sad.

Forms like λυπημένος / λυπημένη / λυπημένο come from a participle-type form, but for learners it is most useful to treat them as normal adjectives that agree in gender and number.

So in this sentence, λυπημένη describes the person being addressed.

Θα is the particle that usually marks the future in Modern Greek.

So:

• θα αγκαλιάσω = I will hug

Greek does not usually make the future with a special verb ending in the same way some other languages do. Instead, it commonly uses:

θα + verb form

That is the normal way to express the future in Modern Greek.

After θα, Greek often uses a form called the perfective non-past. In practical terms, this usually expresses a single, complete action in the future.

So:

• θα σε αγκαλιάσω = I will hug you

The verb is αγκαλιάζω (to hug), but after θα it becomes αγκαλιάσω.

English speakers often expect a plain dictionary form after the future marker, but Greek does not work that way. Compare:

• αγκαλιάζω = I hug / I am hugging
• θα αγκαλιάσω = I will hug

In this sentence, the idea is one complete future action: I’ll give you a hug.

Σε is the weak object pronoun meaning you (singular).

So:

• σε αγκαλιάσω = hug you

In Greek, weak object pronouns usually come before the verb:

• σε βλέπω = I see you
• σε θέλω = I want you
• θα σε αγκαλιάσω = I will hug you

This is different from English, where you normally comes after the verb.

No, not with the weak pronoun σε.

The normal order is:

θα σε αγκαλιάσω

not

θα αγκαλιάσω σε

If you want extra emphasis, Greek can use the strong pronoun εσένα:

Θα αγκαλιάσω εσένα.

But that is more emphatic or contrastive, something like I will hug you in a specially stressed way.

Because Greek often drops subject pronouns when they are not needed.

The verb forms already show the person:

• είσαι already tells you it means you are
• αγκαλιάσω already tells you it means I will hug

So Greek normally says:

Αν είσαι λυπημένη, θα σε αγκαλιάσω.

Instead of:

Αν εσύ είσαι λυπημένη, εγώ θα σε αγκαλιάσω.

The pronouns εσύ and εγώ would usually be added only for emphasis, contrast, or clarification.

Because the sentence is addressing one person informally.

Greek distinguishes between:

• σε = you, singular informal
• σας = you, plural or formal

So this sentence is speaking to one person in a familiar way.

The comma separates the if-clause from the main clause:

• Αν είσαι λυπημένη = condition
• θα σε αγκαλιάσω = result

This is very normal in Greek writing. It helps make the structure clear.

Yes. Greek could also say:

Θα σε αγκαλιάσω, αν είσαι λυπημένη.

That still means the same thing: I will hug you if you are sad.

Putting the αν clause first is very natural, especially when the speaker wants to present the condition before the result.

Yes, in everyday speech you may also hear άμα for if:

Άμα είσαι λυπημένη, θα σε αγκαλιάσω.

This is common and natural in spoken Greek.
But αν is the basic, standard word learners should know first.