I dont' believe love at first sight exists, no. I do believe that people have some very intense infatuation sometimes at first sight but just the meaning of the word love itself goes against any way this can be possible. Since I don't think loving anyone is limited to a feeling at all..

I think getting to know this person is a great idea but I wouldn't put too much into the idea that you "know you want to marry " this person. There is no way you can know enough about a person in a single instance like this or even a few dates whether they are a good match for you.

Honestly I hope you take this slower