1 1/2 lbs. fresh broccoli
1 pint half-and-half (that's half milk, half cream, or substitute to your liking)
2 cups water
1 lb. pasteurized process cheese spread (like Velveeta)
3/4 tsp. salt
1/2 tsp. pepper
1/2 cup cornstarch (cornflour) mixed with 1 cup cold water

Makes 10-1 cup servings.

From Leona's Kitchen 

Steam broccoli until tender (can cook in microwave on high power, 6 minutes per pound). 
Place half-and-half and water in the top of a double boiler. 
Add cheese (cut in pieces), salt and pepper. 
Heat until all the cheese is melted. 
Add broccoli. 
Mix cornstarch and water in a small bowl. 
Stir into the cheese mixture in the double boiler, and heat over simmering water until soup thickens.