Its exactly like text game, but a little longer and quicker paced. Just make sure to send stuff that isn't too different from your in person demeanor, but also don't throw away the ability to sculpt your responses. And if your really worried about her looking at the little chat bubble and seeing that your thinking about what your sending, you can open up word and just copy and paste.
And yes, you should definitely tell her that she should accompany you to the Art Exhibit.

If she denies, she probably isn't your type of girl anyway, and you should seek out a girl who would enjoy such a festivity!
Good Luck!