Hate to pour cold water on your enthusiasm, but. As you say mounting a camera is fine with your instructor, you are evidently new to flying. I prefer, as an instructor, that my students do not divide their attention. Filming while flying is not concentrating on flying, and as another poster has remarked, it can be boring to watch.
You only have to look at some of the offerings on U-tube to see how boring such films can be. Learn to fly very very well. Or get your instructor to fly while you do the filming. Not even professionals try doing both at once, it can lead to unhappy endings.