Depends on what you are going for. If you are heading this up, expect it to be a full-time endeavor for at least a year, and then part time for the lifetime of the hut. Like Nivag said, there are lots of different types of huts, so you have to decide on what you want before anything else. This will depend a lot on how much work you want to put into it, the economic, political, and environmental climate in your region, what people who will use it actually want, etc. If there is no infrastructure already in place (and I'm assuming you still need to work a job to feed yourself), you'll probably want a very basic hut that is unstaffed - basically, an emergency shelter.
As an American, I've used these sorts of things a lot. Here are the things I would like in a hut:
3-4 walls and a roof that doesn't leak. Leaving one wall open will stop the nasties from building up inside, and will discourage squatters. If the wind blows from a constant direction, you can face the open wall the opposite way. In a pinch, a tarp can be set up to make a temporary 4th wall to keep most of the weather out. However, very harsh weather might necessitate a 4th wall.
An elevated floor. Getting flooded in the middle of the night sucks.
Clotheslines/pegs in the walls. Places to hang things. When it rains, I want to hang my stuff up to dry. In addition, hanging my pack up at night clears a lot of space for other people.
A broom to sweep out debris. A shovel to dig cat holes.
A privy - maybe. Once you build the hut, it will attract people. Eventually, the number of people it attracts will be large enough that human waste becomes an issue. At this point, you need a privy. There are lots of different kinds. Do your research to see what works best for your needs in your environment.
Some way to keep rodents out of my food. Tenting, they aren't usually a problem, because they are dispersed across the landscape. Building a hut, increased human population means increased food droppage in the area, which leads to a higher rodent population. Rodent hang lines can be made easily out of bits of garbage: http://takealonghike.files.wordpress.com/2011/03/0214.jpg. Also, try to build your hut without many small nooks and crannies, as rodents will build their nests there if not ousted from time to time.
Water. A good stream nearby is always a plus.
A view. Not necessary, and it should be superseded by other factors like weather. But when there is one, it is a very nice plus.
I wouldn't recommend storing things that are small and easy to take, unless you intend or people to take them. Unless you plan on staffing it, your visitors should be prepared to make due on their own.