This was written by Grace Slick's brother-in-law, Darby Slick, in 1965. They were in a San Francisco band called The Great Society, which also included Jerry Slick, who was Grace's husband and Darby's brother (Jerry played drums; Darby played guitar). The Great Society released the song as a single in late 1965 with another Darby Slick composition, "Free Advice," on the B-side.
The single went nowhere, and when Darby started exploring Indian music in 1966, the group broke up and Grace joined Jefferson Airplane, which was already established. When she arrived at her new group, she came bearing hits: they recorded a new version of "Somebody To Love" and also did "White Rabbit
," which she wrote as a member of The Great Society.
With royalties he earned from writing "Somebody To Love," Darby Slick spent years learning Indian music.