Becoming a Pediatrician   Pediatricians are physicians who have specialized in pediatric medicine. SO,the first step is to become a physician. This involves graduating fr â¦ om college and going to medical school.o become a pediatrician, one does a residency in pediatric medicine after graduating from medical school. Most pediatrics residencies are three years long. Some pediatricians will choose to subspecialize in a more specific area, for example pediatric cardiology or pediatric emergency medicine.