Second date - How should I act?

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Hi, I just went on my very first date ever with a chinese girl yesterday. I have a second date organised but I am not certain how I should handle it.

>Meet girl
>Really really quiet, so I take the lead role asking questions, joking and being nice to her
>Constant giggling from her, a good amount of eye contact
>Take her to a french resturant and we have steak
>Still sitting with me, trying to learn about her, and she is quite quiet but still laughing and covering her face a little
>Ask her which she wanted to date me, make it clear it's because I thought she was attractive and her behavior is making me think she's even more cute
>Full blush mode, doesn't answer for 3 minutes, eventually says she was reluctant because she's 2 years older (19 vs 21) but went because she thought my dog was cute (riight)
>Continue laughing, go off to toilet
>Come back and we finish eating, but she didn't finish her food and after a little bit of time trying to get a straight answer out she says we should get the bill
>Do so, I feel rather awkward and sorta shut down, but still a bit of eye contact and occassional giggling from her
>Get off bus back at uni, she comes up to hug, but I don't because too awkward
>Feel miserable, but she messages me like 20 minutes later saying she really enjoyed it
>Next day, messages me first, saying she slept really well. We organise to see a movie, beauty and the beast
>This is now

I have no idea what to do, but she's asked about my flat quite a bit. What do? What do you think?