I was hoping that my girlfriend would not mind driving me to work.
Why do you want your girlfriend to drive you to work?
I just would prefer that she drove so I can sit back and rest instead.
I know you like it when your girlfriend drives you to work, but you shouldn't expect her to drive you all the time. She is busy and probably doesn't have time to drive you to work. You can ask her occasionally but it shouldn't be a regular occurrence.
So when she does drive me, I can't take the chance to relax? I will always be taking this opportunity.
It is fine to have your girlfriend drive you every once and a while, but not all the time. It is not that exhausting to drive anyway, so in a way you are resting while you drive as well.