Meanwhile, in a large stock pot, heat olive oil over medium heat.
Add onion, celery, garlic, carrot, and broccoli.
Pour broth over vegetables and increase the heat to high. Bring to a boil, reduce heat to medium and simmer 5 minutes. Using an immersion blender, puree until smooth or you can use a blender.
Add milk and simmer 1 minute to heat through. Puree again. Season, to taste, with salt and pepper. Using a fork, mash garlic cloves with a pinch each of salt and black pepper, making a thick paste.
Spread mixture on toasted bread and serve with soup.