I am flying into the International terminal at 1pm and fly out of Terminal 3 at midnight, is this enough time for me to go to the city? I.e Golden Gate bridge and cable car

Yes plenty

Plenty of time

After landed you need custom pass 30 min ~ 1 hour to exit airport , you may need 30 min ~ 1 hour ( depending on your transportation) to get golden gate bridge. You need come back to airport at least 2 hours before frying.

Yes, but you have to make sure to be at the airport 1-2 hrs before your flight

Yes. Make sure you head back to airport at least 120 minutes before your flight time