Every city has convenience stores, Every.
You will find that they are staffed by some of the hardest working people on the planet.
Perhaps you should go out and do some sightseeing.
Good luck and may God bless
24 hour stores are limited in San Jose and most of the Bay Area. 7-11's and Quick Stop's are just about the only stores you will find open 24/7 in San Jose and in almost every neighborhood.
Best of luck on your search for the 24 hour store!