Nous prenons un verre après le contrôle technique.

Not usually. Prendre un verre is a very common French expression meaning to go for a drink / have a drink together.

Literally, it looks like to take a glass, but in real usage it usually means:

• to grab a drink
• to go out for a drink
• to have a drink together

It often suggests something social and informal.

Prenons is the nous form of the verb prendre in the present tense.

The verb is conjugated like this in the present:

• je prends
• tu prends
• il / elle / on prend
• nous prenons
• vous prenez
• ils / elles prennent

So:

• Nous prenons = we take / we are having / we have

In this sentence, it means we’re having or we’re going for a drink.

French often uses the present tense to talk about a planned or expected future action, especially when the time is clear from context.

Here, après le contrôle technique makes the timing clear, so Nous prenons un verre can mean:

• We’re having a drink after the inspection
• We’ll have a drink after the inspection

This is very natural in French, just like English sometimes says:

• We’re meeting after work instead of
• We will meet after work

Because prendre un verre is an idiomatic expression.

• un verre literally means a glass
• but in this expression it means a drink

You could say prendre une boisson, but that sounds much less natural in everyday conversation. French speakers normally say:

• On va prendre un verre
• Tu veux prendre un verre ?

So this is a phrase worth learning as a whole.

Often, yes, but not always.

Depending on context, prendre un verre can mean:

• having an alcoholic drink
• meeting for a coffee or another drink
• going out socially for refreshments

So the phrase often has a social feel, and alcohol may be implied, but it does not absolutely require it.

Après means after.

It introduces what happens first:

• après le contrôle technique = after the technical inspection

So the structure is:

• Nous prenons un verre = we’re having a drink
• après le contrôle technique = after the inspection

Together:

• We’re having a drink after the technical inspection

French usually needs an article where English sometimes does not.

So French says:

• le contrôle technique

where English might say:

• the technical inspection or sometimes just
• technical inspection, depending on context

Here le suggests a specific inspection that both speakers know about, or simply the standard event being referred to.

It literally means technical inspection, and in many contexts it refers to the official vehicle inspection.

In France, le contrôle technique is the standard term for the required roadworthiness inspection for a car. So depending on context, this sentence may very naturally mean:

• We’re having a drink after the car inspection.

Because in French, many adjectives come after the noun.

So:

• contrôle = inspection/check
• technique = technical

Together:

• contrôle technique = technical inspection

This is normal French word order.

Yes — and in everyday spoken French, that is often more common.

• Nous prenons un verre après le contrôle technique.
  More formal or neutral written French.

• On prend un verre après le contrôle technique.
  Very natural in everyday speech.

In modern spoken French, on often replaces nous for we.

A natural pronunciation is roughly:

Noo pruh-non uhn vehr ah-preh luh kon-trohl tek-neek

A few useful notes:

• nous sounds like noo
• prenons ends with a nasal sound, roughly pruh-non
• un is a nasal vowel, not a clearly pronounced n
• après has a clear eh sound at the end
• technique sounds like tek-neek

Also, in normal speech, French rhythm tends to link words smoothly together.

Yes, but the original order is very natural.

Standard order:

• Nous prenons un verre après le contrôle technique.

You could also say:

• Après le contrôle technique, nous prenons un verre.

That version puts more emphasis on the time sequence: After the inspection, we’re having a drink.

Both are correct. The original sentence is simply the most straightforward everyday phrasing.