In SWtoR you went into 'PVP Zones' for the PVP and PVP gear was separate to PVE gear, (when I played at least). You earned currency from the warzones to buy PVP gear and upgrade to the next tier. In terms of the zones themselves there was a couple of sport ball based ones, (cant remember name), some capture the flag, (base) ones. These were mostly 3 bases, whoever holds 2 of them their score would tick up and you got points for defending and kills. IIRC they were 8v8 mostly, then later there were some 4v4 PVP scenarios in little zones with a timed shrinking arena area too, was alright, pretty fun tbh.
You could also run about the game world flagged for PVP and off the cuff fights would break at at choke points such as the entrances to group PVE content areas.