School in: I searched for it on the internet but couldn't find its meaning or anything related to it. I found this idiom in a past year question paper.
Get something into bones: I found this idiom in essay "First year at harrow" by Winston Churchill. Here is link to pdf version of essay.
Thus, I got into my bones the essential structure of the ordinary British sentence -- which is a noble thing.
I inferred from it that he learned the essential structure of english thoroughly, but I couldn't find any such idiom on the internet.