I don't think it is right in any flavour of English. "I like reading books" is a general statement, so it doesn't make sense to then restrict that to certain books. "I like reading the books which I bought two weeks ago" is better. 'the' shows that you are only talking about certain books, not all books. But - I think it would be more natural to use a progressive tense. "I am enjoying reading the books which I bought two weeks ago".

I'm enjoying reading the books (that) I bought 2 weeks ago. 'which' isn't correct here, although many people think 'that' and 'which' are the same! :)