Yeah that is definitely a problem when it first starts because she gives too much exposition. It flows a lot better once she relaxes on going HERE IS A LIST OF ALL THE THINGS YOU NEED TO KNOW TO CONTINUE. Book two is when she just flows into everything and things stop being tell not show. I mean I like parts of book one, but book two is when it turned into obsession. She does some REALLY FUCKED UP AND AWESOME STUFF in that one lol. So instead of her being an assassin as an informed trait, you really get to see her destroy things and be terrifying and it's fun.
Chaol is definitely the least interesting character in the series. His only redeeming trait is his genuine love and loyalty for Dorian. The Chaolaena shippers are craaaaycray too.