In 4 litre saucepan or Dutch oven, combine water, broth, onion, barley, garlic, salt and pepper. Bring to a boil. Reduce heat to low; cover. Simmer 30 minutes, stirring occasionally. Add broccoli; continue simmering 15 to 20 minutes or until barley and broccoli are tender. Combine half cup milk and flour, mixing until well blended. Gradually stir into soup with remaining milk and cheese. Continue cooking over medium heat about 5 minutes or until thickened, stirring occasionally. Add additional water or chicken broth if soup becomes too thick upon standing. *NOTE: To user Quick QUAKER Barley, substitute two third cup quick barley for medium barley and decrease water to 3 cups. In 4 litre saucepan or Dutch oven, combine all ingredients except milk, flour and cheese. Bring to a boil. Reduce heat to low; cover. Simmer 15 to 20 minutes or until barley and broccoli are tender. Proceed as 2nd paragraph directs.