I would fry or sautee the chicken breast with the seasoning of your choice (I like Italian seasoning, or cajun or whatever you have handy). then you can microwave the broccoli for a few minutes (depends on if it is fresh or frozen how long) and melt the cheese over the top. Cheddar is not the smoothest melting cheese so you may want to put it on your chicken instead. I LOVE Lemon Pepper Seasoning Salt on Broccoli - but it is salt. So be careful with how much...

This is a staple dinner for me - I usually make my chicken then put a slice of ham and some mustard and melt swiss cheese on it and have a side of broccoli...