Cook onion and garlic in a saucepan over medium heat high for 3 minutes

Add broth and broccoli and bring mixture to boil

Reduce heat to medium and cook 10 minutes

Combine milk and flour, blend well and add to the saucepan

Cook 5 minutes, stir constantly

Stir in pepper, remove from heat and melt cheese in

Place 1/3 of the soup in a blender and then put it back in the saucepan