Pair made doubles consolation final, while sophomore earned singles berth in Fall Championships.
Goulak and Vagramov shined in debuts, while Johnson was unbeaten in three doubles matches.
In her collegiate debut, Angelica Blake captured the Saint Mary's Invitational singles crown, outlasting Pacific's Klara Kosan 4-6, 6-2, 6-2 on Sunday afternoon.
Stanford opened its fall season with a split squad competing at the inaugural Women's Collegiate Classic, led by Emily Arbuthnott, Michaela Gordon, Niluka Madurawe and Janice Shin.
Newcomers Goulak, Vagramov will debut at Women's Collegiate Invitational in Malibu, Calif.
Event also featured debut of freshman Forbes.