Junior clinched women's tennis program's first win at Stanford since 2014.
Cougars improve to 8-0 at home during the 2020 season.
Goulak clinched 4-1 victory with remaining matches in third sets.
Vagramov posted team-high sixth clinching win of season.
Cougars improve to 10-3 on the season.
UCLA will take on Golden Bears Friday (1:30 p.m., PT), Cardinal Saturday (12 p.m.).