Gill graduated from Arlington Heights High School in Fort Worth, Texas where he was an all-state, all-county and all-district quarterback for Coach Merlin Priddy. During his senior season, Gill was courted heavily by Nebraska, as well as arch-rival Oklahoma, and Texas. Nebraska won the spirited battle for Gill, in part because they would allow Turner to play baseball as well as football, but also because head coach Tom Osborne had managed to quell any rumors about Nebraska supposedly being reluctant to play an African-American at quarterback.