Glenn Garlick began his cello studies with Eugene Hilligoss at Colorado University in Boulder. He later studied cello with Ronald Leonard at the Eastman School of Music (Bachelor of Music, Performer's Certificate) and Robert Newkirk at Catholic University (Master of Music) and chamber music with John Celentano (Eastman) and Joseph Gingold (Meadowmount). For four years Sergeant Garlick studied Sousa Marches in the United States Marine Corps (Gunnery Sergeant, Good Conduct Medal), and for another four years he studied law at Georgetown University Law Center (Juris Doctor, District of Columbia Bar).

In 1980 Mstislav Rostropovich accepted him into the cello section of the National Symphony Orchestra and from 1990 to 1993 he was Rostropovich’s teaching assistant at the Curtis Institute of Music. In 1995 Leonard Slatkin appointed him to the position of Assistant Principal Cellist of the National Symphony Orchestra.

Glenn Garlick is a founding member of the Manchester String Quartet, established in 1981, and in addition to his work with the National Symphony and the Manchester String Quartet, he has served as president of the Kindler Cello Society of Washington, DC.