Yes, that is normal behavior! You have to fly these little helis 100% of the time. Keep practicing. It'll be tough at first, even a few second hover isn't easy. But eventually you'll learn the inputs you need to counteract what the heli is doing.

A set of training gear would help you too. Even a couple of soda straws in an "X" pattern attached the landing skids can keep it from tipping over as you learn to hover.

Good luck!

Mark