Glover played high school football at Henry Snyder High School in Jersey City, New Jersey. Glover recalls a time when his coach, Roy Corso, instructed each player to bring a garbage pail cover with them for after the game. When asked why, Corso responded it was for their own protection. Glover admits if it wasn't for those covers, they never would have made it past the losing team throwing rocks at the bus windows on the way out of the parking lot.
In his senior season for the Huskers in 1972, he won the Outland Trophy and the Lombardi Award; the second of eight Nebraska winners of the Outland Trophy and the first of five Nebraska winners of the Lombardi Award. Nebraska players have won nine Outland Trophies overall, by far the most in the nation. Oklahoma has the second most with four. As the middle guard, he was a key member of the Blackshirts as an underclassman on the 1970 and 1971 undefeated Nebraska teams that won consecutive national championships. The 1972 team was a pre-season #1 but lost their road opener to UCLA and finished 9–2–1, rising to fourth in the final AP poll, buoyed by a third consecutive Orange Bowl victory, 40–6 over Notre Dame.
Glover was the second consecutive winner of the Outland Trophy from Nebraska, his New York Giant teammate Larry Jacobson won in 1971. He is the first of four Cornhuskers (Dave Rimington, Dean Steinkuhler and Ndamukong Suh), and one of thirteen lineman, to have won both the Outland Trophy and the Lombardi Award in their careers. Glover also finished third in the 1972 Heisman Trophy voting, won by teammate Johnny Rodgers; he was the only defensive player in the top ten.[1]
He was selected to the Nebraska All-Century Football Team and is one of sixteen Cornhuskers to have his jersey (#79) retired. Glover was selected to the College Football Hall Of Fame in 1995.
Following his collegiate career, he was selected by the New York Giants in the third round of the 1973 NFL draft, the 69th pick overall. He played with the Giants (along with fellow Husker and Outland winner Larry Jacobson) for one season before joining the Shreveport Steamers of the World Football League in 1974. He then joined the Philadelphia Eagles in 1975 before injuries ended his NFL career. He went on to become a teacher and coach in the public school system. He was the phys ed teacher at public school #28, Jersey City in 1974/75. In 2004, he was part of the New Mexico State football coaching staff.