Simmer the broccoli. Add the broccoli florets to the pot along with the broth. Bring to a boil, then reduce heat and let simmer until tender, about 10 minutes.
Blend until smooth. Once the broccoli is tender, blend the soup until smooth and creamy using an immersion blender.
Add cream and cheese. Stir in the heavy cream and shredded cheddar cheese, cooking gently until the cheese is melted.
Season and serve. Season with salt and pepper to taste and serve warm.
Notes
This soup pairs well with crusty bread, grilled cheese sandwiches, or fresh side salads.