bungee! scare the hell of her... and eat.
Cliff climbing!
Vancouver's good for eating since it has so many places and diverse culture.
But okay...
Downtown eastside where its suspicious! (Also it's Chinatown :P)
Take her to the V.Island or kayak, sports, etc.
POCO has a shooting range and some other neat things north east.
Oh, take your cousin to a hockey game, let her understand Vancouver hockey hype! (IF, BIG IF, canucks are still in the playoffs by the time she arrives