Do you know how to play chess? I have wondered if me knowing would make it a better experience, but I feel like they've stayed general enough with the moves that I can still follow along fine.
I just finished it up last night. Very well done. I have dabbled in chess since I was a small child, never becoming good. At one point I studied some of the basic openings and responses, and practiced those against an AI.
I might help a tiny bit with references to The Sicilian and other openings. The thing ordinary decent players do, is understand those openings an the possible responses to them. That's going to get you about 4-5 moves in. Then it's on you. What these master and grand master level players do is understand hundreds to thousands of mid game and end game situations, and how people won or lost. So if that is what came across as what she was learning as she progressed from the basement, to winning local tournaments to studying with Benny, then you got what you needed. She went from being a brilliant intuitive player who could just mentally see many moves ahead, to someone who can do that, plus knew what the greatest players had done with the same late game board layout.