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GDPR and all other EU wide ideas or "Laws" are issued as Directives,No. The fact that the last letter in "GDPR" is not "D" is a pretty good hint that it's not a Directive ;)
It's a Regulation. Regulations apply directly, and are not translated into local law.
But omgitsabird is correct that GDPR is not the relevant basis here, but a clause in French Data Protection Law. And this clause exists because of the ePrivacy Directive.