have to start with fan, and fan relay. Seems like he fixed the damage from the overheat but never fixed the issue why it overheated in the first place.. Also it takes a lot of overheating many times to blow a gasket. when the car is cold open the overfill tank for the radiator and see if there is rainbow colored oil in the coolant. Its possible it blew again and or was never fixed in the first place. But first thing first you have to talk to the mechanic about fixing WHY it overheated.. if it does it once its gonna happen evrytime the car is ran till fixed.

If its a gasket, the car will run for 5 min and shoot up to hot right away

If its a fan or relay switch/radiator problem. the car will run for 20-30 min and slowly crawl up to hot.