Disclaimer: I am not the guy from whom you want to take any kind of dating advice.
That being said; yeah, it’s a “date”; i.e. an opening invitation to spend time with/get to know the lady in question (we assume that she is, in fact, a lady). Since you “don’t know what [you] want,” there’s no real pressure to achieve some goal, i.e. a specific base, or a touchdown, or whatever sports-based metaphor the kids are using these days to indicate romantic success.
Suggestion: be a gentleman (open doors, offer to buy a drink, et cetera) but don’t go overboard (flowers, chocolate, invitations of lifelong matramony) and see how it goes. If it goes well, return with an offer to go to a play/film/art exhibit/dinner/mountain biking/whatever.
Recommended topics of conversation: her hobbies, your hobbies, your dog, food, music, et cetera.
Topics to avoid: work, cosmology[sup]1[/sup], politics, calculus of variations[sup]2[/sup], pornography, the writings of Philip K. Dick[sup]3[/sup].
IIRC, you are (ethnically) Japanese; women often find that exotically attractive, in and of itself. Play up the whole “inscrutable Asian” thing.
And, regardless of your intentions, good luck to you. At the very least, perhaps you’ll have made a close acquaintance or possibly a friend.
Stranger
[sup]1[/sup]Unless she’s that type of girl.
[sup]2[/sup]On the other hand, if she brings it up…
[sup]3[/sup]Okay, propose marriage immediately.