Follow growth curve. Large for gestation infants can have several conditions associated such as obesity, changes in blood sugar and even underdevelopment of their lungs and other organs. Your doctor will follow the baby's growth and will determine if any further testing is needed. If your baby did not have a nicu stay, this is more often associated with a better course and fewer problems.
Large babies. No. However delivering very large babies over 9 pounds is associated with maternal metabolic diseases e.g. Diabetes. The babies are large but often frail. Therefore having large babies may happen with normal mothers or the large babies may be caused by an illness the mother has or may develop.