Broccoli Cheese Soup

1 1/2 C. butter
1 1/2 C. flour
4 C. chicken broth
4 C. milk
1 cup grated cheese
1 bunch broccoli
1/4 large onion
1 tsp. salt
1/4 tsp. pepper

Cook chopped broccoli and chopped onion - boil on stove until barely tender.  I like mine still a bit crisp and pretty green, not yellowed.  Drain the broccoli and set aside.  In a large pot, melt butter.  Add the flour and stir together. Quickly stir in chicken broth so the butter and flour don't get too pasty.  Then add the milk and let thicken.  Stir in cheese and let it melt.  Add salt and pepper.  Then add the cooked broccoli and onion.  Stir well  and serve.