Nazdravićemo i priredićemo veliku proslavu.

They are in the future tense (often called Future I in Serbian).

Both forms mean we will ...:

• nazdravićemo = we will make a toast / we will toast
• priredićemo = we will organize / put on / throw

The ending -ćemo shows 1st person plural: we will.

That is a normal way to form the future in Serbian with many verbs.

For verbs whose infinitive ends in -ti, Serbian often drops -ti and attaches the future auxiliary:

• nazdraviti → nazdravićemo
• prirediti → priredićemo

So this sentence is perfectly standard.

You can also express the same future with the auxiliary written separately in a different word order:

• Mi ćemo nazdraviti i prirediti veliku proslavu.

That also means the same thing. The difference is mainly in structure and emphasis, not basic meaning.

The infinitives are:

• nazdraviti = to make a toast / to toast
• prirediti = to organize / to arrange / to put on

So the sentence is built from those infinitives plus the future ending -ćemo.

Because Serbian usually does not need subject pronouns when the verb already shows the person.

In nazdravićemo and priredićemo, the ending -ćemo already tells you the subject is we.

So:

• Nazdravićemo i priredićemo veliku proslavu.
• Mi ćemo nazdraviti i prirediti veliku proslavu.

Both are correct. Adding mi just makes we more explicit, often for emphasis or contrast.

Here nazdraviti means something like:

• to make a toast
• to raise a glass
• to drink to someone/something

It often refers to a single completed toast, which fits this sentence well.

Also, Serbian can use this verb without stating the object explicitly, so Nazdravićemo by itself can naturally mean We’ll make a toast if the situation is already clear.

Not exactly.

Prirediti often means:

• to organize
• to arrange
• to put on
• to throw (for an event)

So priredićemo veliku proslavu is more like:

• we will organize a big celebration
• we will throw a big celebration

It is not the same as simply prepare in a general sense like preparing food or getting ready.

Because veliku proslavu is the direct object of priredićemo, so it must be in the accusative case.

The base form is:

• velika proslava = a big celebration (nominative)

But after a verb like prirediti, Serbian uses the accusative:

• veliku proslavu

Both words change because they are feminine singular:

• velika → veliku
• proslava → proslavu

So the adjective and noun still match in gender, number, and case.

Both nazdraviti and prirediti are perfective verbs.

That means the sentence presents these actions as whole, completed events:

• one toast
• one organized celebration

That is very natural here, because the speaker is talking about planned future actions as complete events.

If you used imperfective verbs instead, the meaning would shift more toward:

• repeated action
• ongoing action
• habitual action

So the perfective forms fit the idea of We’ll do this, and we’ll do that.

Ć is a soft sound, somewhat similar to English ch, but lighter and more fronted in the mouth.

For an English speaker:

• č is the harder ch sound, like in church
• ć is a softer version

You do not need a perfect native pronunciation immediately, but it helps to remember that ć is not the same as č.

So ćemo should sound softer than an English chemo or cheh-mo.

Yes. Serbian word order is fairly flexible.

For example, you could also say:

• Priredićemo veliku proslavu i nazdravićemo.
• Mi ćemo nazdraviti i prirediti veliku proslavu.

These versions are all understandable, but they may shift emphasis a little.

The original sentence:

• Nazdravićemo i priredićemo veliku proslavu.

sounds natural and straightforward.

Yes. In this sentence, i simply means and, connecting the two future actions:

• nazdravićemo
• priredićemo

In other contexts, i can sometimes mean also or even, but here it is just the normal conjunction and.