Yes, she will be bored in Kindergarten..& every grade after that. I know, my oldest was reading to her preschool class @ 3 (teacher's helper)....by Kinder she was reading on an 4-6th grade level & they were sending her into the RSP groups to help the 6th graders read. By 1st grade she was tested by the reading specialist at her school & tested with full comprehesion as a 19 yr. old. (2nd year of college)! They recommended that we skip her into 3rd grade & her life became HELL because she wasn't able to cope SOCIALLY. And she was bored to tears & getting in trouble for reading her Harry Potter novels during class.
So, depending on YOUR temperment, family situation & local school....home schooling might be best. My girl & I are BOTH ADHD Queens & I KNEW from day 1 that I couldn't home school her. So far she has had a very up & down school career, just because she is SO far ahead academically but she lacks just about all social skills. In hindsight (always 20-20) we wish we hadn't skipped her up a grade, however, when we've talked to her about starting high school in her proper grade, she decided to just tough out the social problems. Girls, in particular, are VERY savage to the "odd" girl, all behind the teacher's back, of course.
Anyway, my girl just said that she wishes we could've home schooled, that trying to fit in is super stressful, but she understands why we don't.
If you can find a school that is for gifted kids...not just giving lip service to the title GATE--so that they can collect the funds & not do anything--then that could be just as good as home schooling. Check out that the school is actually DOING GATE instruction before you decide to send your girl there. Unfortunately, even though our neighborhood school kept promising to implement a true GATE program @ their school, they NEVER did. Of course, they took the $ for the GATE program! By law, the district has to test & identify all GATE students & each school gets a budget for it. I finally figured out that I was barking up the wrong tree & took my children out of their home school & switched districts.
There are some great home schooling programs in SD County that meet & do projects & field trips together so that the kids learn social skills also. My girl did her middle school with Mountain Peak Learning Academy Charter is a non-religious home schooling program that also has several school sites around the county & she really did well @ the Chula Vista Learning Academy. We both wish they would open a high school down here, too.
Good Luck & don't worry, you'll find the best solution for your family...