Family practice means that the doctor will be in charge of the health of the whole family. There are family doctors who can attend to different families and they will be the ones that families will call if there is sickness in the family or if someone would need medical attention.
General practice means that doctors will be familiar with the different areas of medicine. This means that these doctors will be familiar with gynecology, pediatrics, and so much more. There are some general doctors that can be seen in clinics that can be open 24 hours and they will assess if people would need to be seen by specialists depending on their condition.