There are so many ways of how to cook long stemmed broccoli. Use a steamer and cook for about 2 to 3 minutes, or boil in a saucepan with a small amount of water with the lid on for 3 to 4 minutes. Fry the broccoli in a little butter or oil for a couple of minutes or cut up and use in stir fries. Alternatively, use a hot griddle or place on a barbecue to grill.