La vétérinaire note aussi la date du prochain vaccin et vérifie si la puce est bien enregistrée.

La shows that the veterinarian is female. The noun vétérinaire often stays the same in form for both genders:

• le vétérinaire = the male veterinarian
• la vétérinaire = the female veterinarian

So the article tells you the gender here.

Because the subject is already stated: La vétérinaire.

French does not need to repeat the subject pronoun when the noun subject is already there:

• La vétérinaire note... et vérifie...

This is like English The vet writes down... and checks... You would not normally say The vet she writes down...

They are in the present tense: third person singular.

• noter → elle note
• vérifier → elle vérifie

Here they describe what the veterinarian does, often as part of a routine or standard action.

Aussi means also or too.

In this sentence, it comes after the verb:

• La vétérinaire note aussi...

That placement is very normal in French. French word order with adverbs is often different from English. You can think of this as The vet also notes...

Because de + le contracts to du in French.

So:

• de le → du

That means:

• la date du prochain vaccin = the date of the next vaccine

This is a very common contraction:

• de la
• de l’
• du
• des

Some adjectives in French come before the noun, and prochain is commonly one of them.

So:

• le prochain vaccin = the next vaccine

Not every adjective goes before the noun, but certain common ones often do. Prochain is one you will often see before the noun.

Here si means whether or if.

• vérifie si la puce est bien enregistrée
• checks whether the microchip is properly registered

This is not the si meaning if in a conditional sentence like If it rains... It introduces an indirect yes/no question: Is the chip registered or not?

Literally, puce can mean flea, but in this context it means microchip.

With pets, la puce commonly refers to the identification chip placed under the animal’s skin. So the meaning depends on context.

This is the passive voice:

• est = is
• enregistrée = registered

So:

• la puce est enregistrée = the chip is registered

French forms the passive with être + past participle, just like English often uses to be + past participle.

Here bien means something like properly, correctly, or indeed.

So est bien enregistrée suggests not just is registered, but is properly registered in the system/database.

It adds the idea that the registration has been done correctly.

Because it agrees with la puce, which is feminine singular.

In the passive, the past participle agrees with the subject:

• la puce est enregistrée → feminine singular
• le chien est enregistré → masculine singular
• les puces sont enregistrées → feminine plural

So the extra -e shows feminine agreement.

Vérifie is pronounced roughly like veh-ree-fee.

A few useful points:

• the é sounds like ay in a short, clear way
• the final -e is normally not pronounced
• the final -s in aussi is also not pronounced
• note sounds roughly like not

French spelling often keeps letters that are not fully pronounced, so this is very normal.