You would still have the same age, gender, personality, skin color, etc. and you would be able to speak at least one local language and would know basic information of the era and place. Your family, social standing, and such would be randomly picked.
fwiw: gay nightlife in san francisco was at its zenith in the 50’s & 60’s .
the san francisco we have today is a tiny dim more conservative ember of what it was back then.