Experts and BHG readers answer.
Well I would not say you did much wrong. Succulents like aloe vera can be VERY difficult to grow from seed especially if you don't have perfect greenhouse conditions. At this point, all you can do is give it a lot of light and don't overwater. I do suggest, however, it's a lot easier to buy a small plant than to grow these from seed. You can often find them at Home Depot or Lowe's for very little money.