1/4 cup unsalted butter, cubed
3 cloves garlic, minced
1 onion, diced
2 stalks celery, diced
1/4 cup all-purpose flour
2 cups vegetable broth
2 cups milk
1/2 cup heavy cream
16 ounces broccoli florets
1 carrot, julienned
2 cups shredded sharp cheddar cheese
Kosher salt and freshly ground black pepper, to taste