01 - Heat olive oil in a large pot over medium heat. Add the diced onion and sauté for 4–5 minutes until softened and translucent.
02 - Add the minced garlic to the pot and cook for 1 minute, stirring frequently to prevent burning.
03 - Add the roasted red peppers to the pot along with smoked paprika, cayenne pepper, salt, and black pepper. Stir well and cook for 2 minutes to meld flavors.
04 - Pour in the vegetable broth and bring to a gentle simmer. Cook for 10 minutes to allow the flavors to develop fully.
05 - Remove from heat. Use an immersion blender to puree the soup until completely smooth and velvety, or carefully transfer to a standard blender in batches.
06 - Return the soup to low heat if necessary. Gradually whisk in the shredded Gouda cheese, adding it a handful at a time until fully melted and incorporated.
07 - Pour in the heavy cream, stirring continuously until the soup reaches a rich, creamy consistency and is heated through. Taste and adjust seasoning if needed.
08 - Ladle hot soup into bowls and garnish with freshly chopped chives or parsley and additional shredded Gouda if desired.