Hi,
First of all, I'm not a native english speaker, so I'm sorry if I make mistakes in my speech.

I'm 23 years old girl. Until a few days ago I had no experience with women, but I had it in my mind for a long time and was very curious about it.

I went on a date with a gorgeous lesbian women, and on the end of the date we went home and slept together. It was a very special experience for me.
Since than I can't stop thinking about her. Usually with men I got used that this kind of experiences are considered as one night stand, and we not meet again, and if we do, they don't take me very seriously.
In my opinion women are more emotionally capable and have a more developed mind when it comes to relationships. But I still wonder whether I should call her, and if I do, when is the right time and what I should say.
If you have any idea about this kind of relationships and their potential I would really like you to share it with me.

Thanks for your time:)
Yuli:)

Gay, straight or whatever, doesn't matter if another date is what you want. If you are afraid to ask for it, and find out if the other person is willing, then you will never know.

So call and see. You either take a chance or you don't. On you.

You don't say how you met, who asked whom on the date, and how long ago the date was.
Same gender dating really isn't any different from opposite gender dating. Same with relationships. The only differences come from how others perceive you - family, friends, neighbors, co-workers, strangers, society where you live.
I see no reason to be coy, or to wait passively. You had a good time and you like her so far, so tell her you enjoyed the time together, and ask if she will go to dinner with you tonight!
Honest and straightforward. If she can't, she will suggest another day. If she doesn't want to, and considered it a one night stand, she will just say she can't... letting you down nicely.
Sure it will hurt for a minute. Or you can not call her, and wonder forever.