Selling large amounts of marijuana, usually as an occupation.
Wintermute: How is it that seventeen-year-old has two flat screens? He must be pushing trees.
Wisti: Yeah, I bought a quap last week from the boy, good shit too.
Push or pushing is to sell something usually drugs and trees refers to weed so Push Trees means to sell weed.
The company push trees does not actually sell weed, only clothing lol.