You’ve stopped wondering whether she wants another date. You call each other boyfriend and girlfriend. Now the ordinary parts of being together start to matter: how often you see each other, what you tell family, and whether your plans for next year point in the same direction.
Her being Chinese may be part of those conversations. It won’t answer them for you. She might have grown up in China, elsewhere in Asia, or in a Chinese family in another country. The two of you need to work from the lives you actually have.