Library
noun
A public building where written things are all diagramed out in a way that lets you find said written things? That sounds like a library to me!
としょかん
The 書館 part should be readable by you, but it's the 図 that's troublesome with an alternate reading from the one you learned. Imagine yourself at the library. You check out every single book you can about the human toe (と). You have a giant stack of books on it, then you drop it... ironically on your toe. You decide to show Khan (your buddy) your smashed toe.
図書館で新しい本を見つけました。
I found a new book at the library.
図書館の利用にお金はかかりませんよ。
Library use is free of charge.
私は図書館で勉強するのが好きなんです。
I like studying at the library.