A really great read! I'll definitely be adding the sequels to me to-read list; an interesting world and a fascinating protagonist make me want to come back for more. 
 Leckie does a great job at building out just enough of the world for you to understand what's going on, and to make you want to know more. One of the areas planets in the book, a city called Ors on a planet called Shis'urna, is marvellously well-described - you absolutely get a sense of what it's like to be there, with a good balance of narrated information and character's own experiences. 
 The main character, Breq (among other names), is also fascinating. She's the remnant of what was once essentially a hive-mind linking together hundreds of human bodies and the AI of a massive ship. A character who has multiple bodies simultaneously is interesting enough (and she's not the only such character, to great effect), but the fact that Breq lost the rest of herself and is essentially reduced to one human body is really interesting. I'm eager to read more of how Breq makes her way through the world. 
 Give it a shot!