Broccoli And Cheddar Cheese Soup – Simmer + Sauce

Ingredients

• 5 tablespoons unsalted butter, divided
• 1 large yellow onion, finely chopped
• 3 cloves garlic, grated
• Kosher salt and freshly ground pepper to taste
• 2 pounds broccoli, florets cut into 3 inches pieces
• 1/4 cup all-purpose flour
• 3 cups low-sodium chicken or vegetable stock
• 1 cup whole milk
• 1 cup half-and-half
• 6 ounces mild cheddar cheese (I use Clover Sonoma Organic ), grated, plus more for garnish