The act of working out with the goal of getting jacked. A hard workout will leave one's muscles 'swoll' enough for the whole world to see.
Jim: Where you going dude?
Bobby: Just heading to the gym to get my swoll show on.
Andy: Damn dude, you look huge.
Bobby: Yeah, I know, just got my swoll show.
Rakesh: Why the hell are you trying to curl more than your body weight?
Bobby: Shut the fuck up, I'm getting my swoll show on.