After finally seeing all three endings, I can confirm that you can only get this if you received the following ending:
SPOILERS AHEADThis is achieved at the very end of the game.
After finishing the checkers room, you will add your final thing to the painting. After a brief "moment" you will end up being back in your normal house upstairs. Simply read the book on the floor on the landing. This book location can be seen below:
http://imgur.com/AVA3B6a