Yep, as long as you just knock it to the left it will shift for you in sport mode, but be careful because if you bump it up or down when it is to the left (in sport mode) it will think you want to shift manually and hold that gear. As primetime said, the dash should read "S". If it reads a gear #, you are in manual mode and you have to do all the shifting.

It is really simple to figure out if you just go out on your street and mess with it.