In my experience, GMs write books and amateurs like us read them
What books do GMs read that help them become stronger

Doesn't matter what the subject is.
You're never done learning unless you're a smug POS....
Anyone whose serious about bettering themselves in something will never stop consuming material that is related

Most GMs don't read many chess books. Kramnik once famously picked up a copy of Pirc Alert and won with the Pirc the next day, I think against Nakamura. But most GMs just get their information from the Internet now.

Btw, I do think GMs look at the Grandmaster Repertoire series. Many of the novelties that writers such as Avrukh and Negi recommend are soon tried out in GM games.

I'd guess they read most if not all chess books that are considered to be of high enough quality among GMs.
Chessbase is a useful tool, but it does not explain the ideas behind the moves like a good book does.
After it came out that Karpov secretely studied The Backyard Professor on Youtube, AlexandraThessa came out with his ringing endorsement of the 700 rated professor. Thessa even believes the eminent Backyard Professor is better than 99% on this site.

I doubt they're actually reading that kleelof, more like looking at the pictures and wishful thinking

You can see photos here of Carlsen and Fressinet : http://chess-news.ru/en/node/12944 showing a chess endings book.
That's Fundamental Chess Endings (what is this, like, 2000?! They should totally get with the program this is the age of Dvoretsky as far as endgame books are concerned!) and they're probably laughing at the flaws in it (Carlsen could probably instantaneously notice flaws in it that would escape amateurs or even lesser GMs).
Titled players read heavy stuff like Dvoretsky's Analysis Manual and some of Aagard's works, maybe some opening books. ECE, ECO, and various Informants as well.
Do modern GMs even need to read a little chess books or its just chessbase forever