Despite not being directly connected to the music scene, the family would include two musicians: Emil Gilels and Elizabeth.
Elizabeth commenced her violin studies with pedagogue Pyotr Stolyarsky, whose pupils included David Oistrakh, Nathan Milstein, and Boris Goldstein.
Top prizes were garnered by Stolyarsky's other students, including David Oistrakh, Boris Goldshtein (Goldstein), Yelizaveta (Elizabeth) Gilels, and Mikhail Fikhtengoltz.
After WWII, she formed a duo with Leonid Kogan – Their performance of Bach's Double Concerto was quite successful.
Beginning in 1966, Elizabeth Gilels taught at the Moscow Conservatory, where she earned the title of professor in 1987.