88 supra turbo overheating problems Help!!!!

[suprat]

Hey guys i have the 88 supra turbo and i finally fix the afm and now the car overheats and bubbles coming from the reservoir. I know the whole thing abput the headgasket on these cars but what i can't understand if it was a headgasket would the car smoke or would their be oil in the coolant. My car will not overheat if its just idiling and i can drive it for about maybe 10 miles befor the guage starts to go up but once it goes up it will get right to the red on the hot side and then drop to normal temp reading and as soon as i hit the gas again it will go up and once i let off the gas it will go back down. I have also notice that i have to put coolant in it often. I already replaced the thermostat and the radiator cap i was wondering if you guys think this could be a water pump cuase for it to be a headgasket would the car have to smoke or have oil in the coolant my car dosen't have either of those.