Earlier quoted context omitted.
"You met me at the peak of my career when I seemed to you to be concerned with problems close to the gods." It sounds like Feynman remembered that his student thought highly of the problems he was working on late into his career. Feynman's encouraging his former student, as a recent graduate, to start out with low-hanging fruit. He goes on to describe some of the easier problems that he worked on in the beginning of…
Feynman, like everyone, has his virtues and vices, but humility is definitely not among his strong points. The majority of the stories he tells about himself are anecdotes in which he is the smart person in the room making (maybe lighthearted and friendly) fun of others with a cheaply superficial pretence of humility.
If he managed to stay lighthearted and friendly while making fun of others he’s doing a better job than me, because I’ve lost much of my patience for stupidity.