Broccoli Cheese Soup

I just made this a few nights ago. I found the recipe and tweaked it quite a bit and it turned out awesome....tastes just like you'd find in a cafe!

1/4 c. butter
1 onion, chopped
16 oz. package frozen broccoli
2 cans chicken broth
1 - 1 1/2 lbs process cheese, cubed (Velveeta) (more or less based on preference)
1 c. milk
1 Tbsp. garlic powder or 1 clove fresh garlic (I used fresh)
1/2 c. cornstarch
2/3 c. water
1 c. cheddar cheese

Melt butter in stock pot. Cook onion in butter. Stir in broccoli and then add the chicken broth. Simmer until broccoli is tender (10-15 minutes). Reduce heat. Stir in cheese until melted. Mix in milk and garlic. (You can add the garlic when you add the onion if you like more garlic flavor) Dissolve cornstarch in water in a separate bowl. Stir into soup. Cook, stirring frequently until the soup is thick. Add the cup of cheese and let it melt. Enjoy!