I'm married and all I can say is, that even if you think you want to marry her after a couple weeks, wait! Live together with her, go on trips with her, meet her family, etc.! If after at least one year living together with her and seeing her everyday you still want to marry her, do it.
I met my wife in 2005, moved together with her a couple weeks after meeting her, and got married in 2007.
Another thing is, that it is very easy and common (especially in the states) to get a divorce. One fight and somebody says let's get a divorce...If you get married you really have to work on that shit and not have in mind, that you can just divorce if some shit happens...jmo