Go to an art gallery, know at least 4 works that are showing and the lives of two artists, pick one that is your favourite, get her the postcard/poster of what is her favourite (if they have it) as a surprise.
Afterward Go to an actual cafe or restaurant (starbucks doesn't count) for a light dessert.
On the way out from cafe/restaurant, get the flowers for her. Women love that. Escort her home.
Some people like to give flowers right away. That's not really considerate if you are heading out and both were getting ready to get out the door. If you meet somewhere, she has to lug them around with her, or you will.
Oh, and listen. Really listen. And convey to her that you are listening. So get to know questions that are not single word responses, and compliment her for what she says.
If you want romance, this is a great start. The whole point of it is actually to talk and listen to each other while having the ability to look at each other, everything else is a prop.