J.A.
Definately speak to your doctor. It's quite possible that nothing is wrong, that this is typical behavior for a toddler, but if you feel in your gut that there is something wrong here, trust your instincts and get a doctor to evaluate. If your doctor blows off your concerns, doesn't seem to listen or dismisses you without evaluating her, get a second opinion. Don't dismiss your gut feeling. Show your doctor the letter you wrote to us. (I would be more concerned about the focus, or lack thereof, than about the hyperactivity.)
She sounds like a bright, happy and spirited little girl. It's possible that it could just be her nature. Or maybe there is something else at play here. But a doctor can make that call.