What are some sections like Chapters in the book that I should study on?

This really depends what aspects of the story you are studying. There is a lot of action in the book but I would say much of the story is character driven. I might study chapters that focus on Katniss as well as the dystopian world she lives in. You can get a quick rundown on each chapter at the link below.

http://www.gradesaver.com/the-hunger-games/study-guide/summary-chapter-1