My ds5 has not yet been tested or labeled gifted yet, but did exhibit a lot of those characteristics at that age (2,3,5,6, and 7). Luckily, ds is a pretty good sleeper even though he has severe reflux.

I agree with the others here, saying that puzzles were huge at that time and books. At 15 months, I gave him a tag leapfrog pen (with books); which he loved and started playing the build- a- words games. Also, by 18 months, we started playing games like Memory and Bingo. For his energy, gymnastics, swimming (he loved it, because he was the only student in his class, so his teacher did a lot more with him), and lots of playground time. However, socially things were a little hard, because he spoke 50/50 Spanish and English. He would get frustrated when the kids wouldn't talk back (because he was speaking Spanish) or think he was a baby (he was/is small).

Good luck and enjoy! It's challenging, but fun!