Broccoli Cheddar Soup - Fresh-Pressed Olive Oil

Ingredients

• 7 tablespoons olive oil, divided, plus more for drizzling
• 1 large sweet onion, about 12 ounces, finely chopped
• 4 cloves garlic, finely chopped
• Coarse salt
• 2 pounds broccoli, trimmed and cut into small florets (slice stems into discs)
• 1/4 cup white whole wheat flour
• 3 cups low-sodium chicken or vegetable broth
• 2 cups milk
• 10 ounces sharp or very sharp white cheddar cheese, grated
• Freshly ground black pepper to taste