Breastfeeding new mom

Hello new mommy here my boy was born on Monday. Question so if my boy feeds on one breast for 10 min and then falls asleep do I need to pump the other breast? I was just strictly pumping then feed but I finally got the hang of the breast feeding well when I was strictly pumping I would get two infant size model-a bottles usually he would just eat one of those and be full. Or should I wake him up and feed him the other breast for about 5 min considering I only pump both for 15 min in one session.