my partner is a lesbian she wants me to go with her in PRC she is chinese what visa should i apply?

You can apply for a tourist L type to go with her in PRC. If she stays with you in Philippines currently, she cannot write you the invitation letter. But she can ask her parents to issue the invitation letter to you.
Of course, if you can provide the round trip air tickets and hotel reservation, the invitation letter is not required.
And I think it’s easy to get the L type as long as you prepare all the required documents including your passport and copy of its data page, the application form and a passport-sized color photo, proof of your financial support, round trip air tickets and hotel reservation, or an invitation letter.