Τον Ιούνιο μένω περισσότερη ώρα στο μπαλκόνι και φοράω μόνο κοντομάνικα ρούχα.

Because Greek often uses the accusative with the article for time expressions like in June / during June.

• Ιούνιος = June as a dictionary form
• τον Ιούνιο = in June / during June

This is very common with months:

• τον Μάιο = in May
• τον Αύγουστο = in August

So Τον Ιούνιο is an adverbial time phrase, not the subject of the sentence.

Not in this sentence. Μένω can mean several things, including:

• live
• stay
• remain

Here, with περισσότερη ώρα στο μπαλκόνι, it means I stay or I spend time on the balcony. So the idea is not I live on the balcony, but I stay there longer / spend more time there.

Because Greek usually drops subject pronouns when they are not needed. The verb ending already shows the person:

• μένω = I stay / I live
• φοράω = I wear

So εγώ is unnecessary unless you want emphasis or contrast:

• Εγώ μένω... = I stay...
  • maybe contrasting with someone else

This is very normal in Greek.

Because περισσότερη ώρα is a very natural Greek way to say more time or longer.

Literally it looks like more hour, but idiomatically it means:

• I stay longer
• I spend more time

If you say περισσότερες ώρες, that focuses more directly on the number of hours: more hours. That can also be correct in some contexts, but περισσότερη ώρα is very natural here.

Because περισσότερη agrees with ώρα.

• ώρα is feminine singular
• so the comparative adjective must also be feminine singular
• therefore: περισσότερη ώρα

If the noun were neuter, you would use περισσότερο instead.

Στο is the contraction of:

• σε
  • το = στο

So στο μπαλκόνι literally comes from σε το μπαλκόνι.

In Modern Greek, σε is used with the accusative, and it can correspond to English in, on, or at, depending on the context. So:

• στο μπαλκόνι = on the balcony

Even though English uses on, Greek uses σε here.

Because Greek σε is broader than any one English preposition. It often covers meanings that English splits into:

• in
• on
• at

So Greek says:

• στο σπίτι = in the house / at home
• στο τραπέζι = on the table
• στο μπαλκόνι = on the balcony

You usually have to learn the Greek phrase as a whole rather than expect a one-to-one match with English prepositions.

Yes. Φοράω is a very common everyday form meaning I wear. You will also see φορώ.

Both are correct:

• φοράω
• φορώ

In many contexts they are interchangeable. Φοράω often sounds a bit more conversational and common in everyday speech.

Here μόνο means only and limits κοντομάνικα ρούχα. So the idea is:

• I wear only short-sleeved clothes

Greek word order is a bit flexible, and μόνο can move around, but in this sentence it most naturally applies to the type of clothes being worn.

It literally means short-sleeved clothes.

• κοντομάνικος / κοντομάνικη / κοντομάνικο = short-sleeved
• ρούχα = clothes

So:

• κοντομάνικα ρούχα = short-sleeved clothes

This is broader than English short-sleeved shirts. It refers generally to clothes with short sleeves.

Because it agrees with ρούχα.

• ρούχα is neuter plural
• so the adjective must also be neuter plural
• therefore: κοντομάνικα ρούχα

This is standard adjective agreement in Greek: adjectives match the noun in gender, number, and case.

Because the phrase is indefinite/generic here. The sentence means something like:

• I wear only short-sleeved clothes
• not I wear only the short-sleeved clothes

Greek often leaves out the article when talking about things in a general, non-specific way. If you meant a specific set of clothes, you could say:

• τα κοντομάνικα ρούχα = the short-sleeved clothes

Most naturally, it describes a habitual or seasonal pattern:

• Τον Ιούνιο μένω... και φοράω...
• In June I stay... and wear...

So this sounds like something the speaker generally does in June. Greek present tense often covers both:

• what someone does now
• what someone usually does

The time phrase Τον Ιούνιο pushes it toward a habitual meaning.