Question

As an electron gains energy, it becomes excited and jumps to a lower energy level?

Answer 1

This is inccorect. When an electron gains energy and becomes excited it jumps to a higher energy level. When an electron jumps to a lower energy level it de-excites.

Answer 2

Yes if you add an energy to an electron the electron will become excited, and it will jump to its highest level then go back down releasing  energy