Yes, you may apply to both. However, you can only receive funding from one source. Thus, if you apply to both funding sources and you do receive the Dean's Grant, you will be required to inform the program director, so that your application for APUG research funds can be removed from consideration.
Your supervisor will complete a brief mid-semester evaluation. Then, toward the end of each semester your supervisor will fill out an evaluation form that you and he/she will discuss. These evaluations are intended to help you learn about your strengths and weaknesses as a developing professional.