This recipe is from Smitten Kitchen. You can do anything with it you would do with basil pesto, like put dollops of it in soups like the one in the next recipe.
Cut the florets off 1 lb. of broccoli. Peel the stalks and chop into smaller pieces. Steam the broccoli for 6 minutes (it should still be bright green) and then give it a cold water bath to cool. Roughly chop it all.
Saute 3 T. minced cleaned leeks in 1 T. butter and 1 T. olive oil until tender, then add 1 minced clove of garlic. Cook a minute or two then add the broccoli along with 4 T. heavy cream, salt, black pepper, and red pepper flakes to taste.
Puree the broccoli mixture in a food processor, then mix in a bowl with 4 T. grated parmesan cheese.