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 and cook for 1 minute, stirring frequently until fragrant but not browned.
03 - Add the roasted red peppers to the pot. Stir in smoked paprika, cayenne pepper, salt, and black pepper. Cook for another 2 minutes to toast the spices.
04 - Pour in the vegetable broth. Bring to a simmer and cook for 10 minutes to allow flavors to meld together.
05 - Remove from heat. Use an immersion blender to puree the soup until completely smooth, or carefully transfer to a standard blender in batches.
06 - Return the soup to low heat if needed. Stir in the shredded Gouda cheese a handful at a time, whisking until fully melted and incorporated.
07 - Pour in the heavy cream, stirring until the soup is creamy and heated through. Adjust seasoning to taste before serving.
08 - Ladle hot soup into bowls and garnish with chopped chives or parsley and extra shredded Gouda if desired.