At San Jose airport, as at every airport in the United States, passengers arriving on an international flight must clear immigration (CBP) and customs, collect their checked bags and re-check them, and go through TSA security again before their connecting flight, even when both flights are on the same ticket.
The airport has 2 terminals or concourses (Terminal A (most airlines), Terminal B (mostly Southwest)). All of them are connected after security, so you do not need to clear security again to change.