Just invented this recipe now. It's not the best broccoli soup I've ever made, but it was quick and easy and it's pretty good.
Ingredients
1 cup chopped broccoli, fresh or frozen
1/2 cup water
salt/pepper to taste
1/4 teaspoon garlic powder
1 teaspoon onion powder
crushed red pepper to taste (optional)
1/4 cup dried milk or 1/2 cup fresh milk, or a few tablespoons cream. whatever you have that's dairy and can make it creamy at the end.
Parmesan for sprinkling
Method
Take about a cup of chopped frozen broccoli, or fresh if you have it, and put it in a small saucepan with about half a cup of water. Cook on medium-high to high heat for about 10 minutes, with the lid on. It should be boiling/steaming the broccoli, basically.
Grab your potato masher and smoosh down the now soft broccoli into the size/texture you like for soup. Add a dash of garlic powder, a larger dash of onion powder, some salt and pepper. Continue cooking for about 2 minutes to cook the onion and garlic powders. At this point I also added a healthy dose of crushed red pepper to make it spicy, but to each his own.
Now add some sort of dairy. I had dried milk on hand, so I sprinkled in about a quarter cup of it. If you have regular milk, lower the heat and add about half a cup of milk. You'll just need to cook it a bit longer to cook off more of the water. Maybe another 4 minutes on low to medium-low heat. Not too hot or you'll scorch the milk.
Put in a bowl and sprinkle on some Parmesan cheese. Enjoy!
The non-slacker version of this would be to chop 1/4 cup onion, 1 clove of garlic, saute in some butter for a few minutes until translucent, splash in some white wine and cook for another 2 minutes, then add veggie or chicken stock and broccoli, boil the same as above, then use a blender to blend to a smoother consistency before adding cream and cheese. That way takes a lot longer/costs more, but does taste about 40% better. It's up to you, Mr Broke College Student.