In your blender, combine everything but the salt and pepper and the extra broccoli.
Puree until smooth, then season with salt and pepper, to taste.
If you used a high speed blender, your soup should be nice and warm already. The magic of the Vitamix! If you want it really hot, though, go to step 4.
If you used a regular blender, transfer the soup to a small saucepan to warm it up before serving.