Follow these simple instructions to create your Cheesy Potato & Broccoli Soup:

1. Prepare Ingredients: Start by peeling and dicing the potatoes. Chop the onion and mince the garlic.
2. Sauté Vegetables: In a large pot, melt the butter over medium heat. Add the chopped onion and sauté until translucent, about 3-4 minutes. Then add the minced garlic and cook for another minute.
3. Add Potatoes: Stir in the diced potatoes and cook for about 5 minutes, allowing them to absorb the flavors.
4. Pour in Broth: Add the vegetable or chicken broth to the pot and bring it to a boil. Reduce the heat and let it simmer for about 15 minutes, or until the potatoes are tender.
5. Add Broccoli: Add the broccoli florets to the pot and continue to simmer for an additional 5-7 minutes until the broccoli is bright green and tender.
6. Blend the Soup: Using an immersion blender, blend the soup until it reaches your desired consistency. For a chunkier texture, blend only half of the soup.
7. Stir in Cheese and Milk: Add the shredded cheddar cheese and milk or cream to the pot, stirring until the cheese has melted and the soup is creamy.
8. Season: Season the soup with salt, black pepper, and paprika if desired. Taste and adjust the seasoning as needed.
9. Serve: Ladle the soup into bowls and top with additional cheese or croutons if desired.

By following these steps, you can create a deliciously cheesy and comforting soup that will be loved by all.