Is it possible to stay there in 3 months? what do I need in order to get the visa?

Hey Rowen, according to your description, you can only apply for the tourist type entry permit. I'm afraid that you cannot stay for as long as three months because the tourist type usually only allows you to stay for one month or so. To apply for it, you need to submit your passport, a photocopy of the passport, V. 2013 application form, a recent 33mm x 48mm sized personal photo, and an invitation letter from your boyfriend. If it's your first visit to China, you should also provide a proof of financial standing.