Ds1 has a working dx of ADHD alongside his gifted label. 
I'm not entirely convinced, but the medication trial is making him more compliant in school (focus wise - he doesn't have behaviour issues) so they are v keen.
He also has some asd traits, anxieties and phobias. And rock climbs. And gave up dance because a nasty bunch of 7yo girls bullied him for a year saying he shouldn't be in a girl's activity.
What have dd's school said about her academics? Tbh, not much gifted identification is possible in yr 1/ r because the curriculum doesn't allow teachers to test beyond the expected levels, so unless you push it, they are hardly ever likely to even know what a child's capabilities are.
That said, at 5 it doesn't matter a jot. If dd is happy and enjoying school, it's all good. Plenty of time to slowly consider whether her problems with sitting still are a result of immaturity, ADHD, or as an over excitability codependent on giftedness.
Don't start seeing problems where there aren't any btw. I find it really sad that at 5 you have already decided that she is going to get in trouble later because she won't be able to sit still. She has a lot of growing and developing to do, and it's also perfectly normal for gifted kids to be able to sit still. 
Is she happy and fidgety? If so, at 5, all good.