Dr. Gremillion was born in New Orleans. He graduated from Louisiana State University School of Medicine in New Orleans and performed his residency at Earl K. Long Hospital in Baton Rouge. He is a specialist in Internal Medicine and has practiced since 1989. He is certified in Internal Medicine by the American Board of Internal Medicine. Dr. Gremillion is a member of the East Baton Rouge Parish and Louisiana State Medical Societies, as well as a member of the American College of Physicians.