Η γειτόνισσά μου δουλεύει σαν ζαχαροπλάστρια, και καμιά φορά μας φέρνει τσουρέκι ή λουκουμάδες.

Greek usually uses the definite article together with a possessed noun, and the weak possessive pronoun comes after the noun.

So:

• η γειτόνισσά μου = my neighbor
• literally, something like the neighbor of mine

This is the normal everyday pattern in Modern Greek:

• ο φίλος μου = my friend
• η αδερφή της = her sister
• το σπίτι μας = our house

Because μου is an enclitic word, meaning it leans on the word before it. In Greek, when an enclitic follows a word like γειτόνισσα, the spelling often adds an extra written accent:

• dictionary form: γειτόνισσα
• before μου: γειτόνισσά μου

This does not change the basic meaning of the word. It is mainly about Greek stress rules and pronunciation.

You will see the same kind of thing in phrases like:

• ο δάσκαλός μου = my teacher
• ο άνθρωπός της = her person / her man

Δουλεύει is the 3rd person singular, present tense of δουλεύω.

So it means:

• he works
• she works
• it works

Here it means she works, because the subject is η γειτόνισσά μου.

Greek often leaves out subject pronouns like she, because the verb ending already helps show the person:

• δουλεύω = I work
• δουλεύεις = you work
• δουλεύει = he/she works

Here σαν means as, in the sense of working as something:

• δουλεύει σαν ζαχαροπλάστρια = she works as a pastry chef / confectioner

In other contexts, σαν can also mean like:

• τραγουδάει σαν αηδόνι = she sings like a nightingale

So σαν often covers both as and like, depending on context.

A more formal alternative is sometimes ως, but σαν is very common and natural in speech.

When Greek says what someone is or works as, it often uses the profession without an article.

So:

• είναι δασκάλα = she is a teacher
• δουλεύει σαν ζαχαροπλάστρια = she works as a pastry chef

That is similar to English, where we also say she is a teacher, not she is the teacher, unless we mean a specific teacher.

Because the neighbor is female: η γειτόνισσα.

Greek job titles often have masculine and feminine forms:

• ο ζαχαροπλάστης = a male pastry chef / confectioner
• η ζαχαροπλάστρια = a female pastry chef / confectioner

So the profession word matches the person being described.

Καμιά φορά is a fixed expression meaning sometimes, now and then, or once in a while.

Even though:

• καμιά means something like some / any
• φορά can mean time or occasion

the whole phrase works as an adverbial expression:

• Καμιά φορά μας φέρνει... = Sometimes she brings us...

It is very common in everyday Greek.

Μας here means to us.

So:

• φέρνει = brings
• μας φέρνει = brings us / brings to us

With φέρνω, English often says just brings us, while Greek uses the weak object pronoun before the verb.

Compare:

• μου φέρνει = brings me
• σου φέρνει = brings you
• μας φέρνει = brings us
• τους φέρνει = brings them

This is a very common Greek pattern: short object pronouns usually go before the finite verb.

These are two different words:

• η = the (feminine singular article)
• ή = or

The word ή takes an accent mark. The article η does not.

At the start of the sentence, η is capitalized as Η because it is the first word. In ordinary Greek writing, capital letters often appear without accent marks, so Η here is just the article η, not ή.

That is just the natural way these foods are usually talked about.

• τσουρέκι is often thought of as one item, like a tsoureki or even some tsoureki
• λουκουμάδες are usually served as multiple small pieces, so the plural sounds natural

So:

• φέρνει τσουρέκι = she brings tsoureki
• φέρνει λουκουμάδες = she brings loukoumades

This is similar to English, where we might say she brings cake or donuts.

Yes. You would change the words that refer to the person and the profession:

• Ο γείτονάς μου δουλεύει σαν ζαχαροπλάστης, και καμιά φορά μας φέρνει τσουρέκι ή λουκουμάδες.

Changes:

• Η γειτόνισσά μου → Ο γείτονάς μου
• ζαχαροπλάστρια → ζαχαροπλάστης

The rest of the sentence stays the same because δουλεύει, μας φέρνει, τσουρέκι, and λουκουμάδες do not depend on the person's gender.