in the books, the first chapter ends with Prim getting drawn and the second begins with Katniss volunteering, so it was kind of rushed in the books as well but the big difference is we get exposition through flashbacks and narration that helps us learn about Katniss. Really wish the movies did more with flashbacks because they did leave a lot of important context. We do get some flashbacks but they're too short for people who watched the movies first to really get it. Not that the audience is dumb, it just goes by too fast and it's like blink and you miss it.
To add, katniss is playing with Peeta's feelings. Katniss also believes Peeta knows it's fake and is confused herself but the first movie/book she does play with his feelings but genuine feelings for him develop over time.
