Question

When checking for breathing and you hear gasp should you continue with cpr

Answer 1

No, once the victim starts to breath again, CPR is no longer necessary, it is only necessary for someone who is unconscious, or not breathing.

Answer 2

I don't think so I believe you would let them get air inside and that's the sign that he/she is alive and breathing so you don't wanted to push the air out of there lungs when you were trying to get air in there lungs
Hope this helps have a nice nite!