If the person you are interested in responds positively to your cues, it might be a good idea to ask them out on a date. You don't have to be a man to ask someone out, women can do it too, so don't be shy.
Before planning a date, find out what they like doing – maybe watching movies or sports games, going to museums, walking, dancing. Also find out what's a nice, quiet place near where you live that will give you both some privacy to talk. Remember, dates don't have to be fancy or expensive. They can be simple like meeting at a tea stall and then taking a walk in the park.