Uraboku manga covers two arcs so far: the first is the one on the anime (even though the meeting with Reiga, Elegy, Cadenza and Luze was quite different if you compare both versions) and the beginning of the second arc. (If you are confused to why an ongoing manga doesn't have much more 5 years after its anime, view note on the end of the review)
If you are here because you want to pick up after the anime, as I said on the last paragraph: the meeting with the bad guys is different (even in terms of personality traits, which is going to make you confused if you don't read the manga completely). I'd advice reading the manga on its whole to understand what is going on but if you don't want to, I can tell you the second arc starts on chapters 36/37.
I really love Odagiri Hotaru's art (even though there's a little problem with her artstyle: the limitation on character designs. For example: Hotsuma and Sairi look simillar and Yuki and Senshirou [without glasses] look the same). This fact alone may make you confused about who's talking sometimes. But her art is stunning and makes up anything.
The story has a few problems: I'm not sure whether it is a plothole or something Odagiri planned to explain later, however there are some things, mostly about Luka, that are really confusing if you're playing attention while reading the manga. Despite those small details, it is a good story indeed.
I am glad because there is some character development on this manga. In fact, Yuki (the main character) changes everybody around him a little. I believe the character with the less development is, in fact, the character you expected (and he claims) to have the most. (You'll understand who I mean if you read it)
The manga has several funny moments, for example, when dr. Fujihara is told that he needs to treat Luka and he smiles wide, cleans his table in 3 seconds and tells Luka to get his clothes off on the spot (and gladly, that was on the anime as well). The manga has many moments like that.
Sumary: Uraboku is a really good manga and I'd definetly recommend it.
Note: The manga has currently 54 chapters, however the manga isn't published in Japan for over a year (it used to come out near-regularly until 2012, then two chapters came out in 2013 and there were no chapters being released in 2014, nor it is known how many [if any] will be released this year). This is going on because, apparently, the mangaka has been having issues regarding her hands (and on a volume she explains it's something she always had), that's why Uraboku is like this. So if you want to read Uraboku, mind that it stops halfway.
