Despite never going to classes, at least not that we ever see, Supergirl graduates from Stanhope College in this Mike Sekowsky story in Adventure 406 (May 1971), getting a new job in a new city.
Her adoptive parents, Fred and Edna Danvers, make a rare appearance, showing up for Linda’s graduation, which is marred by a campus riot. While Robin’s series at this time was all about the turmoil in universities during the Vietnam War, the Supergirl series rarely showed anything of campus life, aside from occasional dances.
Linda heads to Metropolis to see her cousin, with Nasty tagging along behind. Clark informs her of a job at a television station in San Francisco, and Nasty overhears, heading there as well.
So by the end of the story, Supergirl is now living and working in San Fran, the hub of hippiedom. Again, this is part of the move to make the Superman family more hip and modern, but aside from the location, the Sueprgirl series would pay no more attention to the world of Haight Ashbury than her college days did to the Vietnam protests.
Nasty becomes her romantic rival, while still trying to prove Linda is really Supergirl.
Her powers continue to come and go, and this issue ends with a cliffhanger. Linda gets injured in a fire, winding up in an ambulance, terrified that her invulnerability will return while she is under medical care.