Broccoli Cheese Soup

This recipe came from My Kitchen Cafe.

1 can chicken broth
1 small onion, diced (I used less, about 1/3 of a small onion)
I also added some carrots

1/3 c. flour
1/4 c. butter
Pepper to taste

2 c. milk
1 1/2 c. shredded cheddar cheese
1/2 c. shredded swiss cheese
steamed chopped broccoli --2-3 cups, depending on your tastes

Simmer chicken broth and chopped onion for 15-20 minutes in a covered small saucepan, until onions are soft. Heat milk in microwave for 1-2 minutes. In a separate medium-sized stockpot, melt butter then add flour and pepper. Cook together for a couple of minutes, then whisk in warmed milk. Stir and heat together on medium-high heat until soup starts to thicken. Next add chicken broth and continue to stir until well blended. Add cheeses and steamed broccoli. Serve immediately.
I actually cooked the carrots and broccoli with the onions and broth. I added the cheeses to the milk mixture before adding the broth mixture with the veggies in it.