The cook station is a more mid to late game item that allows you to cook meals based on certain combinations of ingredients. These meals will not only fill part of your hunger bar, like any other food in the game, but they will also provide you with hunger saturation which will extend your bar further than it's maximum limit.
The cook station takes 6 planks, 6 plastic, 2 metal ingots, 4 vine goo, and 1 bolt to craft so it is not that demanding of an item. You can find recipes in chests on abandoned rafts or in chests underwater which can be placed on a wall or post and tell you which ingredients make which meals. For the achievement, the easiest meal to make is the vegetable stew, which can be made with 4 potatoes, 4 beets, or a combination of the two. To take the meal out of the cooking station pot you need a bowl which can be crafted with 2 clay.