If you'd purchased the dog from a reputable breeder, they would certainly have given you some guidance along with local referrals... French Bulldogs are brachycephalic and require different anesthesia protocols so you should check with the FBDCA and locate veterinarians that are recommended by club members that follow the guidelines described by Dr. Lori Hunt, DVM... Another good thing would be to enter your zip code at:
http://frenchbulldog.meetup.com and contact other local Frenchie owners for referrals and information that you can share on a wide variety of topics...
A healthy French Bulldog will generally only require two annual visits per year once all the initial vaccinations have been administered. An ill-bred dog with a compromised immunity (as in allergies, skin disorders, mange, etc.) or genetic defect (hemivertebrae, luxating patellas, hip / disc / joint problems, arthritis, etc.), on the other hand, could cost thousands per year in veterinary fees...
Best wishes with your puppy.