You'll need the computer, obviously. But it may throw kinds of codes without all the parts connected to it. You may have to buy an aftermarket computer that allows the engine to go into anything without the computer looking for ABS, Cats, etc. At minimum you'll need a programmer to deal with the engine tune.
Like Mlarv5 said, it might creating a huge problem for yourself by trying to splice the 2011 into your car. The heads and cams are different also, I believe.
chevy runs deep, Don't step in chevy!