Most Helpful Girl
Some women like being pursued, others like doing the pursuing. Usually if a woman knows what she wants and she's interested she will probably drop hints and flirt as a way of inviting you to make the "first move." That's how I do it, and then I can sort of gauge whether a guy is interested or not by his responsiveness to my flirting. As to whether I expect the guy to make the first move, no, but I do expect some effort.
Most Helpful Guy
No. Most guys don't mind if the girl makes the first move. I don't mind as long as it's not too aggressive.