Play online games now!
Play online games now!
I understand you're expecting a negative result, but I'm here to help. It's not likely you can play Wolfenstein on your brother's PC without any issues.
Discover family sharing at the store: http://store.steampowered.com/promotion/familysharing
Steam sharing lets users add games to their library and exchange them with others. You can swap libraries with your brother, so both of you can play each other's games. REMEMBER: You can only access someone else's games while they're offline.
Steam family can enjoy the game on its own setup, or you can stream it directly from your system if it performs better—just accept a slight delay if your connection is strong.