Insomma, studiamo un’ora e poi ci fermiamo per un caffè.

Here insomma works as a discourse marker, not in its more literal sense of in short or all things considered.

In this sentence, it sounds like:

• so
• well then
• alright
• anyway

It helps introduce a conclusion, decision, or next step in the conversation. So Insomma, studiamo un’ora... feels like So, let’s study for an hour...

In Italian, the 1st person plural present tense often does the job of an English let’s form.

So:

• studiamo can mean we study
• but in the right context it can also mean let’s study

This is very common with suggestions or proposals:

• Andiamo! = Let’s go!
• Mangiamo? = Shall we eat? / Let’s eat?
• Studiamo un’ora = Let’s study for an hour

The context tells you whether it is a plain statement or a suggestion.

Italian often expresses duration without using a preposition.

So:

• studiamo un’ora = let’s study for an hour

This is completely normal. English usually needs for, but Italian often does not.

You can also hear:

• studiamo per un’ora

That is also correct, but studiamo un’ora is very natural and common.

Because ora is a feminine noun beginning with a vowel, una is usually shortened to un’ before it:

• una casa
• un’ora

The apostrophe shows that the final a of una has been dropped.

This is important because ora is feminine. The form un’ here comes from una, not from the masculine article un.

Here ci is the reflexive pronoun that goes with the verb fermarsi.

The verb is:

• fermare = to stop something
• fermarsi = to stop / to stop oneself

So:

• fermiamo la macchina = we stop the car
• ci fermiamo = we stop / we stop ourselves

In this sentence, ci fermiamo means we stop or we take a break.

So ci does not mean there here. It is part of the reflexive verb.

Because the meaning here is to stop ourselves, not to stop something else.

Compare:

• fermare = transitive, it takes an object
  
  • Fermiamo il video. = Let’s stop the video.
• fermarsi = intransitive/reflexive, the subject stops
  
  • Ci fermiamo. = We stop.

So in your sentence, ci fermiamo is the correct form because the people themselves are pausing.

Per un caffè means for a coffee, but in natural English it often really means:

• to have a coffee
• for a coffee break

In Italian, fermarsi per + noun often expresses the purpose of stopping:

• ci fermiamo per un caffè = we stop for a coffee
• mi fermo per pranzo = I’m stopping for lunch

So the idea is not just standing next to a coffee, but stopping in order to drink one.

Not necessarily in a strict, mathematical sense.

Literally, un caffè is a coffee, but in conversation it can be a very natural way to refer to the activity itself:

• having a coffee
• taking a coffee break
• grabbing an espresso

In Italian culture, un caffè often strongly suggests an espresso unless the context says otherwise.

Poi means then, afterward, or later.

It marks the next step in the sequence:

• first: studiamo un’ora
• next: poi ci fermiamo per un caffè

So e poi means something like and then.

You could also say just poi ci fermiamo, but e poi sounds very smooth and conversational.

Because Italian often uses the present tense for:

• immediate plans
• suggestions
• actions in a sequence

That is exactly what is happening here. The speaker is proposing a plan:

• let’s study for an hour
• then let’s stop for coffee

Using the future, such as studieremo or ci fermeremo, would sound more like a statement about what will happen, rather than a natural suggestion or shared plan.

Yes, absolutely.

That would mean something like:

• let’s take a coffee break
• let’s take a break for a coffee

The difference is mostly in focus:

• ci fermiamo = we stop
• facciamo una pausa = we take a break

Both are natural. The original sentence sounds a little more direct and conversational.