but maybe my view is skewed because I am her mother.
Welcome Chelsea!
Actually, your view is probably skewed because you grew up with all gifted people, which is not unusual, as there is large Genetic Component to Giftedness.
OTOH, if you child wasn't gifted, you'd probably think that she is developmentally delayed. If you are 'impressed' by what she is doing, then she is likely of a higher LOG (level of Giftedness, see Ruff's book) than your family is used to.
Does it matter now? If she is going to a preschool program, it might or might not be having an impact...
If you are considering early Kindergarden...
If you are trying to save money now so you can homeschool if needed later...
IF you can't talk to the neighbor-ladies about what your child is doing because they would think you are crazy or lying or bragging...
No harm in contacting the local public school and asking them to do some testing now or soon if they'll pay.
If you are all having fun, then the only thing to do different is to make sure that every time a well meaning strange comments on how smart she is, you turn it into a praise of a character trait, like curiousity or persistience instead of a fixed trait like 'smart' or 'pretty.' See Sylvia Rim for more on this.
Smiles,
Grinity