Cheesy Cream of Broccoli Soup

broccoli heads (coarsely chop off the florets (I like BIG chunks of broccoli, but feel free to cut it up to your liking..))

water

bouillon granules

cube butter

onion (finely chopped in food processor)

flour

half & half

salt and pepper (to taste)

shredded cheddar cheese (DON'T use pre-shredded. That stuff is coated with starch and will make your soup grainy and gross.. it is worth it to shred it yourself)

Velveeta (half of the big block)