Posle bioskopa ću uzeti piće u kafiću.

Because posle means after and it requires the genitive case.

• bioskop = cinema / movie theater (dictionary form, nominative)
• bioskopa = genitive singular

So:

• posle bioskopa = after the cinema / after the movie

This is a very common pattern in Serbian:

• posle škole = after school
• posle posla = after work
• posle filma = after the movie

In this sentence, posle bioskopa means after going to the cinema / after the movie.

Because u can mean either in or to, and the case depends on the meaning.

Here it means in / at a café, so it takes the locative case:

• kafić = café
• u kafiću = in/at the café

Compare:

• Idem u kafić. = I’m going to the café. → accusative
• Sedim u kafiću. = I’m sitting in the café. → locative

In your sentence, the person will get a drink at/in a café, so u kafiću is correct.

This is the normal Serbian future tense.

Serbian often forms the future with:

• the short form of hteti (ću, ćeš, će, ćemo, ćete, će)
• plus the infinitive

So:

• uzeti = to take / to get
• ću uzeti = I will take / I will get

Examples:

• Ja ću doći. = I will come.
• On će jesti. = He will eat.
• Mi ćemo gledati. = We will watch.

In your sentence:

• ću uzeti piće = I’ll get a drink

Both are possible in Serbian.

These are two common future forms:

• Ja ću uzeti
• Uzeću

Both mean I will take / I will get.

The version with ću + infinitive is especially common when another element comes before the verb:

• Posle bioskopa ću uzeti piće...

Putting ću in second position is very natural here.

So this sentence sounds normal and standard. You could also say:

• Posle bioskopa uzeću piće u kafiću.

That is also correct.

This is because ću is a clitic in Serbian. Clitics usually go in the second position of the sentence or clause.

So in:

• Posle bioskopa ću uzeti piće u kafiću.

the opening phrase Posle bioskopa counts as the first unit, and ću comes right after it.

You could also say:

• Ja ću posle bioskopa uzeti piće u kafiću.

Here Ja is the first element, so ću follows it.

This second-position behavior is very important in Serbian with words like:

• ću
• sam
• je
• se
• mi
• ti

Literally, yes: uzeti means to take.

But in this context, uzeti piće is a natural Serbian expression meaning:

• to get a drink
• to have a drink
• sometimes to order a drink

So the English translation is usually more natural as:

• I’ll get a drink
• I’ll have a drink

rather than the literal I’ll take a drink.

Serbian does not use articles like a and the, so piće can mean:

• a drink
• the drink
• drink in a more general sense

The context tells you which meaning is intended.

If you want to be more explicit, you can say:

• jedno piće = one / a drink

So:

• Uzeću piće. = I’ll get a drink.
• Uzeću jedno piće. = I’ll get one drink.

Both are correct. The version without jedno is very natural.

In real usage, posle bioskopa often means something like:

• after going to the cinema
• after the movie
• after the cinema trip

It does not usually mean merely after the building in a literal sense.

This is similar to how English sometimes uses places or events loosely. Serbian often uses short, natural expressions like this:

• posle škole = after school
• posle faksa = after college/classes
• posle ručka = after lunch

So the learner should understand posle bioskopa as a normal idiomatic time expression.

Yes, Serbian word order is fairly flexible, although some versions sound more natural in certain contexts.

Your sentence:

• Posle bioskopa ću uzeti piće u kafiću.

Other possible versions:

• U kafiću ću uzeti piće posle bioskopa.
• Piće ću uzeti u kafiću posle bioskopa.
• Ja ću posle bioskopa uzeti piće u kafiću.

These all keep roughly the same meaning, but the emphasis changes.

For example:

• Posle bioskopa... emphasizes when
• U kafiću... emphasizes where
• Piće ću uzeti... emphasizes what

The original sentence is very natural if the main point is what will happen after the movie.

Usually at the café sounds more natural in English, but in the café is also possible depending on context.

Serbian u kafiću literally means in the café, but English often prefers at for places like cafés, restaurants, and bars when talking about activities there.

So this sentence could be understood as:

• After the movie, I’ll get a drink at a café.
• After the movie, I’ll get a drink in a café.

Both work, but at a café is often the more idiomatic English translation.

Yes. Bioskop is a standard and very common Serbian word for cinema / movie theater.

You may also hear:

• film = film / movie
• ići u bioskop = to go to the cinema

So:

• Posle bioskopa is a very normal expression.

Depending on the region or style, other words may exist, but bioskop is absolutely standard and one of the first words learners usually meet for cinema.

Yes, very often.

Serbian frequently uses expressions like:

• ići na piće = to go for a drink
• otići na piće = to go have a drink

So a very natural alternative might be:

• Posle bioskopa ću otići na piće u kafić.

That means something like:

• After the movie, I’ll go for a drink to a café.

Your original sentence is still correct, but ići/otići na piće is another extremely common way to express the same general idea.