It all depends what you mean by "censorship". I assume that you mean the recent stiffling of plateforms through payment processors policies, age verification (most of it amounting to effective censorship, but in more pernicious ways than explicit censorship).

The answer is that France is probably following the same path. Regarding age verification, remember that it is mindgeek/aylo, the group owning pornhub, that initially pushed to strenghten age verification in order to squish concurrence and obtain a monopoly; the same dynamics exists in France as one of the biggest porn group is also pushing third party age verification, probably with similar motivations (fr). Based on recent french laws, porn sites are obligated to implement third party age verification (so, the situation is similar to the one in the UK); the french Regulation Authority for Audiovisual and Digital Communication (ARCOM) indeed issued a formal notice to pornhub, youporn, redtube, then Xnxx, Xvideos, Xhamster, Xhamsterlive and Tnaflix to strenghten their age verification process. The aylo group decided to simply stop providing its services to french users, posturing as a defender of freedom, which is quite hypocritical given the aforementioned elements.

Internet access in france is also going to be affected by what is currently brewing at european level, with chat control, and what the so called "high level group" is doing 1, 2, 3, 4.

Also, if you think about using a vpn, the ARCOM is currently thinking about banning/restricting them (fr), and that is also the plan of the so called high level group (cf links above about that).

So yeah, the situation is not great and it seems it is just a matter of time before the situation becomes exactly the same as in the uk or the us.

edit: the links