Welcome!
I also think that it is still a little early to add a label. She does sound ahead of the game, which is great. If you follow her lead you will be happy with the results gifted or not.
As for reading I agree with NONO that the child should initiate interest before formally teaching reading.
And in the mean time... I suggest the LeapFrog videos, playing on starfall.com, and LOTS of reading to her. There are many fun no pressure ways to introduce pre-reading concepts and if you follow her lead it will be a positive experience.
And don't be discouraged if she does not start reading early. Most gifted children tend to learn reading quickly, which does not necessarily mean early.
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