This question already has an answer here:
What do you call a person that can't just relax, someone who always needs to be working or taking a class or working out? Someone who can sit still in one place but only if they are working on something (mentally), and if they aren't working on something mentally then they need to be physically doing something, like running errands or working out etc.. BUT the specific person I have in mind is very calm, and patient but they cannot sit around doing nothing because they feel lazy, like time is wasted.
Maybe it would help to point out that there is not a physical drive to do these things, it isn't a energy level but more of a psychological need to do these things. Often this person is somewhat tired and usually doesn't get a full nights sleep due to over them being so busy with everything they try to do.