How to apply to university in France

As an EU resident you are exempt from the first part of the application process and so you apply through the online APB (post-baccalauréat admission process) just as all native French students do. 

You need to submit your application with details of your (predicted) A Levels grades, and evidence of these, as well as, in some cases, a personal statement and other important documents by mid-March. 

Other universities may ask for entrance exams or French proficiency tests as part of the admissions process. 

You can expect to hear back by April/May and then, if you've received an offer, you need to respond, to either reject or accept it in writing, by the end of July.