What you are feeling may be love. I know from personal experience that love at first sight exists. I was at a Christmas party and knew immediately that my husband was the man I was suppose to marry. We have been married for almost 23 years and have been together for 25. So, yes it could be love at first sight.
Psychology Today  states "Plato held the view that, when our souls descended from heaven to earth, they were divided, so that meeting your soul mate for “the first time” in this lifetime was a sort of reunion." Do you feel as if she completes you? Do you hold the same values? If so, it may indeed be love. Loving someone involves putting their well-being above your own. Think about that for a minute. What would you be willing to do to make her happy. Is it a sexual attraction or do you genuinely care about her well-being?
Several studies  have shown that animals look for mates who are genetically compatible with their own genes. Looking for suitable mates is complicated; however, when you pair natural attraction with common interests and goals, you can find the perfect mate. Whether this happens immediately or takes time to develop, it is worth it in the end.
I would suggest really getting to know the girl. Find out how she feels about things that are important to you as well as the things that are important to her. Take it slow, have long, deep, meaningful talks. Go on dates, spend time together and have fun. If it is meant to be, you will know soon enough.