For breakfast and lunch:
You will first walk up to a booth outside the restaurant and check in. When we did it, they gave everyone that pre-ordered a yellow rose (think yellow hockey puck with a rose stamped into the top) and everyone that did not pre-order a red rose.
You then go into the restaurant itself and place your order on a touch screen (unless you pre-ordered) then pay for the meal. If you pre-order, you go into a different line and go directly to someone to pay.
After paying, you walk yourself into the restaurant and choose a table in any of the three rooms (although when we went in right at 8:00, one of the rooms was closed off until about 8:20).
You go up and get your own drinks and silverware, which are located at separate stations in each room. They bring out your food to your table on carts.
Although some people have said that they magically find your table based on your rose and/or your magic band, both times we ate there a person came around the restaurant and looked at our receipt and punched something into her handheld device before the food ever came out.