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