Le vendeur sourit quand ma fille choisit enfin le jouet qu’elle veut offrir au bébé.

There are three conjugated verbs and one infinitive:

• sourit = 3rd person singular present of sourire
• choisit = 3rd person singular present of choisir
• veut = 3rd person singular present of vouloir
• offrir = infinitive

So the sentence is built around:

• Le vendeur sourit
• quand ma fille choisit
• le jouet qu’elle veut offrir au bébé

Yes. That is completely normal.

French often uses the present tense to describe a sequence of actions in a general or current situation:

• Le vendeur sourit
• quand ma fille choisit
• le jouet...

Even though the choosing happens before the smiling in the logic of the sentence, French does not need a different tense just for that.

Because it comes after veut.

French uses vouloir + infinitive to mean to want to do something:

• elle veut offrir = she wants to give

So veut is conjugated, and offrir stays in the infinitive.

Quand introduces a time clause and means when here.

So:

• Le vendeur sourit quand... = The shopkeeper smiles when...

You could also see lorsque in similar sentences, but quand is very common and natural.

Because in French, short adverbs like enfin often come after the conjugated verb in a simple tense.

So:

• ma fille choisit enfin = my daughter finally chooses

That word order is the most natural one here.

Because French usually drops the vowel of que before a word beginning with a vowel or silent h.

So:

• que elle becomes qu’elle

This is called elision.

Because le jouet is the direct object of offrir inside the relative clause.

Think of the full idea:

• Elle veut offrir le jouet au bébé.

When le jouet becomes the thing being referred to, French uses que:

• le jouet qu’elle veut offrir au bébé

A quick comparison:

• qui = used when the noun is the subject of the following verb
• que = used when the noun is the object of the following verb

So here it must be que, which becomes qu’ before elle.

It refers to ma fille.

So this part means:

• the toy that she wants to give to the baby

And she = my daughter, not the toy and not the baby.

Because à + le contracts to au in French.

So:

• à le bébé → au bébé

This is a standard contraction:

• à + le = au
• à + les = aux

But:

• à + la stays à la
• à + l’ stays à l’

Grammatically, offrir is usually built as:

• offrir quelque chose à quelqu’un

So au bébé is the recipient.

In English, depending on context, you might say:

• give the toy to the baby
• give the baby the toy
• sometimes even choose the toy for the baby

But the French structure itself is the normal à quelqu’un pattern after offrir.

Because the sentence is talking about a specific toy that she finally chooses.

• le jouet = the toy
• un jouet = a toy

Once the toy is treated as identified in the situation, French uses le.

Also, French usually requires an article before a noun like jouet, where English sometimes feels looser.

This order is natural because offrir au bébé stays together as the verb plus its indirect object.

The full underlying idea is:

• Elle veut offrir le jouet au bébé.

Then le jouet is pulled forward into a relative clause:

• le jouet qu’elle veut offrir au bébé

So the direct object le jouet is now represented by que, and what remains is:

• elle veut offrir au bébé

Putting au bébé before offrir would not be the normal order here.

Because they are both 3rd person singular present forms, but from different verbs.

• sourire → il/elle sourit
• choisir → il/elle choisit

They happen to look similar here, but they come from different conjugation patterns:

• sourire is irregular
• choisir follows the regular -ir pattern of verbs like finir

So the shared -it ending in this sentence is real, but it does not mean the verbs are conjugated in exactly the same way overall.