Yes I do. A simple gesture like that. She would like. Think of it like a $10.00 set of roses. I think she would very much appreciate the gesture. Most women like it when you show that your thinking about them.
On another note, I talk to her every night and say shes beautiful. So whats another gesture telling her shes awesome.
I think the answer to that is a 'yes' but it should come from her boyfriend, not from an anonymous stranger, but even so just the gesture of a thing like that might be a net positive.
Nothing beats the attention a real live human being can give you though.