Well, at least some portion, most to even Kenmore.
Northeastern cars go Huntington Ave (they're the only ones that don't go through Kenmore). Boston College/Commonwealth cars go Comm Ave. Beacon Street cars go, well, Beacon street -- they come out of the tunnel after Kenmore at Beacon and St. Mary's Street. Riverside cars don't actually go on a street -- I think their first stop after the tunnel (and after Kenmore) is Fenway, near Emanuel and Simmons colleges. Most of the route is actually kind of woodsy.
I know waaay more about the Green Line than a human being ought to!