The main acid that oxidises after cutting fresh fruit/veg is Ascorbic Acid, better known as Vitamin C. This is pretty damn good for you, and hence fresh fruit and vegetables should only be cut just before they are cooked/served, especially if they are being served raw. The whole TV Chef thing of having pre-prepared bowls of chopped fruit and veg is actually bad practice, unless cooking for a large number of people or in other speed critical situations, in which case blanched or acidiculated fruit/veg is recommended. (thanks to Jimnyo for that)

However, if you're going to boil the broccolli yellow or otherwise overcook the food, this is irrelevant. Overcooking, especially boiling, tends to create Ascorbic Acid Oxide which is subsequently lost into the water or other cooking medium.