Prijateljica kojoj dajem alat sastaviće fioku.

Yes. Prijateljica means female friend, while prijatelj means male friend.

Serbian marks gender much more clearly than English does, so the noun itself tells you the person is female. That also matches the relative pronoun later in the sentence: kojoj is feminine singular.

Because Serbian does not have articles.

So prijateljica, alat, and fioku can mean a friend / the friend, a tool / the tool, a drawer / the drawer, depending on context. English requires articles, but Serbian usually leaves definiteness to context.

Kojoj is a relative pronoun meaning to whom here.

It refers back to prijateljica, but its case is determined by its role inside the relative clause:

• prijateljica = the noun it refers to, feminine singular
• inside kojoj dajem alat, that person is the indirect object of dajem
• davati/dati takes the recipient in the dative
• so we get kojoj = feminine singular dative

A useful comparison:

• koja = nominative, who/which
• koju = accusative, whom/which
• kojoj = dative/locative, to whom / about whom

So kojoj dajem alat literally means to whom I am giving the tool.

Because the verb ending already shows the subject.

Dajem means I give / I am giving. The ending -em tells you it is 1st person singular, so Serbian usually does not need to say ja unless you want emphasis or contrast.

For example:

• dajem = I am giving
• ja dajem = I am giving with extra emphasis, like I am the one giving

Dajem is the 1st person singular present tense form of the imperfective verb davati.

In English, Serbian present tense can often translate as either:

• I give
• I am giving

Here, because the relative clause describes an ongoing/background action, dajem works naturally as I am giving.

It is also important that this is the imperfective verb. The perfective partner is dati, whose present form is dam. In this sentence, dam would not be the normal choice, because the clause is describing the act as ongoing or simply in progress, not as a single completed event.

Because alat is a masculine inanimate noun, and for many such nouns the accusative singular is the same as the nominative singular.

Here alat is the direct object of dajem, so it is in the accusative. But its accusative looks exactly like its dictionary form:

• nominative: alat
• accusative: alat

This is very common with masculine inanimate nouns in Serbian.

Because fioku is the accusative singular form of fioka.

Fioka is a feminine noun ending in -a, and those nouns usually change like this:

• nominative singular: fioka
• accusative singular: fioku

In this sentence, fioku is the direct object of sastaviće, so accusative is required.

Sastaviće is the 3rd person singular future form of sastaviti.

It means he/she will assemble / put together.

In Serbian, future can be formed with the auxiliary će. With many verbs, you will see either:

• će sastaviti
• sastaviće

The second version is a very common written form, where the future auxiliary is attached to the verb stem.

So here:

• sastaviti = to assemble
• sastaviće = she will assemble

Since the subject is prijateljica, it means the female friend will assemble.

Because Serbian usually uses a perfective future for a single future action seen as completed.

So:

• sastaviće fioku = she will assemble the drawer / she will get the drawer assembled
• sastavljaće fioku would suggest something more like she will be assembling the drawer or she will assemble drawers repeatedly/habitually, depending on context

The verb sastaviti presents the future action as a whole, with a completed result. That is why it fits well here.

The word order can be changed, because Serbian uses case endings to show grammatical roles, so word order is more flexible than in English.

This sentence has a natural, neutral order:

• Prijateljica kojoj dajem alat sastaviće fioku.

But other orders are possible, for example:

• Fioku će sastaviti prijateljica kojoj dajem alat.
• Prijateljica kojoj dajem alat će sastaviti fioku.

These versions are still grammatical, but they shift emphasis slightly. The original sentence sounds like a straightforward, neutral way to say it.