A.C.
I would suggest swaddling her. These are exactly the type of movements that often startle babies awake. I was surprised at how much my newborn daughter moved in her sleep.
We can't see your baby, so it is impossible for us to be able to say how much is really normal.
It is worth mentioning to the pediatrician, but certainly nothing that I would be worried about at this point. Only you can make the decision based on what you can actually see.