Qatar is not very big on reading so "real" bookstores are rare and libraries even more so. There is one good library in Education City but there is a membership fee and there are some limitations. My suggestion would be to invest in a Kindle but keep in mind there might be some limitations on downloading books from Amazon due to censorship (think it depends on the billing address of your credit card).
as for schools...
http://thepeninsulaqatar.com/qatar/224133-reining-in-private-schools.html