In a large pot, dissolve
chicken bullion in water. Bring to a boil. Saute onions and butter and add to
chicken stock. Reduce heat of chicken stock to medium. Add chopped broccoli stalks
and simmer for three minutes. Add chopped broccoli tips and simmer for an additional
three minutes. Add garlic powder, salt and pepper and simmer for an additional
five minutes. Stir occasionally. Slowly add milk. Stir gently and return to a
boil. Reduce heat to low and slowly add cubes of cheese. Cook at low heat until
cheese melts. Stir occasionally and serve.