Making Broccoli Cheddar Soup is easy if you follow these steps:

1. Heat Olive Oil: In a large pot, heat the olive oil over medium heat.
2. Sauté Onions and Garlic: Add the chopped onion and garlic to the pot. Sauté for 3-5 minutes, or until the onion is translucent.
3. Add Broccoli: Stir in the broccoli florets and cook for an additional 2-3 minutes.
4. Pour in Broth: Add the vegetable broth to the pot and bring the mixture to a boil.
5. Simmer: Reduce the heat and let it simmer for 15-20 minutes until the broccoli is tender.
6. Blend (Optional): For a smooth soup, use an immersion blender to puree the mixture to your desired consistency. If you prefer a chunkier texture, you can skip this step.
7. Stir in Cream: Add the heavy cream and stir well to combine.
8. Add Cheese: Gradually mix in the shredded cheddar cheese, allowing it to melt completely.
9. Season: Add salt, black pepper, and cayenne pepper (if using) to taste. Adjust seasoning as desired.
10. Thicken (Optional): If you want a thicker soup, mix cornstarch with a little water to create a slurry and stir it into the soup. Cook for an additional 2-3 minutes until thickened.

These simple steps will lead you to a delicious pot of Broccoli Cheddar Soup that everyone will love!