Après le travail, nous allons nous installer au café pour parler français.

In French, travail normally takes an article in this kind of expression, so après le travail is the natural way to say after work.

French often uses an article where English does not:

• après le déjeuner = after lunch
• avant le cours = before class
• après le travail = after work

So even though English says after work, French prefers après le travail.

This is the near future construction:

aller + infinitive

So:

• nous allons = we are going
• nous installer = to settle ourselves / to sit down / to get settled

Together, nous allons nous installer means we are going to settle in / sit down.

It is different from:

• nous nous installons = we are settling in / we settle
• nous nous installerons = we will settle in

The version in your sentence sounds very natural for a plan or intention in the near future.

The first nous is the subject pronoun: we.

The second nous is a reflexive pronoun, because s’installer is a reflexive verb here:

• je m’installe
• tu t’installes
• il/elle s’installe
• nous nous installons

So:

• nous allons = we are going
• nous installer = to settle ourselves

In English, we usually do not say we are going to settle ourselves, but French often uses reflexive verbs where English uses a simpler verb.

Here, s’installer means something like:

• to sit down
• to settle in
• to get comfortable
• to set oneself up somewhere

In the context of a café, it suggests going there and getting seated or settled so you can stay for a while.

It is a little more descriptive than just aller au café. It gives the idea of actually getting comfortable there.

In French, when you have a verb like aller + infinitive, object pronouns and reflexive pronouns usually go before the infinitive, not before aller.

So:

• nous allons nous installer
• je vais me reposer
• tu vas te coucher

Not:

• nous nous allons installer

That would be wrong in standard French.

So the rule is: with aller + infinitive, the reflexive pronoun stays attached to the infinitive idea.

Because à + le contracts to au in French.

So:

• à + le = au
• à + les = aux

Examples:

• au café
• au restaurant
• aux toilettes

So au café is simply the normal contracted form of à le café.

In this sentence, it means more like at the café or in the café setting, because the verb s’installer suggests getting settled there.

French often uses à with places in ways that do not match English word-for-word. With s’installer au café, the idea is:

• go to the café
• get settled there

So depending on context, English might translate it as:

• at the café
• in the café
• down at the café

A very literal translation is not always the best guide here.

Both are possible, but they mean slightly different things.

• au café often sounds like a familiar place or a general destination: at the café
• dans un café means in a café, emphasizing the physical inside of one café, often an unspecified one

In your sentence, au café sounds more natural because the focus is on the activity and destination, not on the interior space itself.

Also, French often uses the definite article in place expressions where English might use a:

• aller au cinéma
• être à l’école
• se retrouver au café

Pour + infinitive is a very common way to express purpose in French.

So:

• pour parler français = in order to speak French / to speak French

It explains why they are going to settle at the café.

Other examples:

• Je viens pour étudier. = I’m coming to study.
• Il sort pour acheter du pain. = He’s going out to buy bread.

So in your sentence, pour parler français tells you the purpose of going and settling there.

When French names a language after verbs like parler, apprendre, or comprendre, it usually does not use an article.

So:

• parler français
• apprendre l’anglais can happen in some contexts, but apprendre anglais is not standard; with parler, no article is the normal pattern
• comprendre le français is possible when referring to the French language more generally, but parler français is the usual expression

As for capitalization: in French, language names are usually lower-case:

• français
• anglais
• espagnol

They are capitalized only when referring to nationality or people:

• un Français = a French man
• une Française = a French woman

But:

• parler français = to speak French

Yes, absolutely. In everyday spoken French, on is very often used instead of nous.

So a native speaker might very naturally say:

• Après le travail, on va s’installer au café pour parler français.

This is more conversational.

The version with nous allons is completely correct, but it sounds a bit more careful or formal than everyday speech.

Yes, it would be grammatically correct, but it has a different feel.

• nous allons nous installer = near future, very common in speech, often used for plans
• nous nous installerons = simple future, a bit more formal or written-sounding

Both can mean we will settle down at the café, but the sentence you have uses the form that is especially common in normal conversation.

A natural pronunciation would be roughly:

ap-rè lə tra-vay, noo za-lon noo zan-sta-lay oh ka-fay poor par-lay fron-say

A few useful points:

• Après: the final s is normally silent
• travail sounds roughly like tra-vay
• nous allons has a liaison: noo za-lon
• nous installer can sound like noo zan-sta-lay because of linking between sounds in natural speech
• au sounds like oh
• café has the stress naturally at the end of the phrase, not a strong English-style word stress
• français sounds roughly like fron-say

You do not need to pronounce every word separately in a rigid way; French flows a lot more between words than English.