Bryce was born February 12, 1925 in Edinburg, Texas and attended school there, graduating from high school in 1942. He served in the U.S. Marine Corps from 1943 to 1946, and attended the U.S. Marine Corps School of Music in San Diego. He received his college training at North Texas, Pan American, and Texas A & I, where he graduated summa cum laude, first in his class.

In 1951, Bryce was hired as band director at Three Rivers where he produced the Class A Honor Band in 1960. In 1961, he moved to Alice, Texas where he built a premier band program. The Alice Band was selected as one of the five finalists 12 times in 5A Honor Band competition. Bryce's bands have been named "Best in Class" or "Outstanding" 36 times in concert competition in Georgia, Tennessee, Florida, and Texas. His 1983 band was one of the first recipients of the prestigious Sudler Flag of Honor award presented by the National Sousa Foundation.

Bryce has served TMEA in district, region and area offices. He was State Band Chairman in 1957-59, and President from 1962 to 1964.