This will sound cliche, but I think it's true: love is when you are willing to expose the real you, and you will feel vulnerable but the "realness" of how you are with her will be more important than shyness, nervousness, or fear.
Some people believe in love at first sight, and maybe that's what your girlfriend meant, but in my opinion, two months is too early to know if it's love or just strong attraction. Would it be possible for you both to put the love question aside for awhile, and just try to enjoy each other's company? Sort of take it one day at a time?
