"Supports Green Initiatives" designates a hotel's participation in an optional environmental program that includes the use of energy-efficient lighting, guestroom towel/linen re-use, and on-premise recycling. "Supports Green Initiatives" does not represent an official certification of any kind.
If you're in downtown Greensboro and trying to work within a budget and need something quick to eat, then the best place would definitely be Midori's Japanese Hibachi. For around 5 or 6 dollars, you'll get a nice portion of rice, veggies and your choice of meat. Don' forget to take some Ginger Sauce, too.