Determine the narrator's perspective
Harold Davis took a deep breath and slowly started to peel the gauze from the wound on his grandmother's leg. "Hold on Grandma. I'm almost done," he said quietly. "Don't worry, baby. It doesn't hurt too much," she quietly replied. "Just take your time."
Harold glanced up at his grandmother lying on the couch. He could tell she was in pain from the way she gripped the cushions, but still she managed to smile back at him.
Third Person Limited
Probably. Check here to be sure:
http://en.wikipedia.org/wiki/Point_of_view_(literature)#Third-person_voices