01 - Roast red peppers over an open flame or under a broiler until skins are blackened. Place in a bowl, cover, and let steam for 10 minutes. Peel, seed, and chop the peppers.
02 - Heat olive oil in a large pot over medium heat. Add diced onion and cook until soft and translucent, approximately 5 minutes.
03 - Stir in minced garlic and cook for 1 minute until fragrant, being careful not to burn.
04 - Add roasted red peppers and smoked paprika to the pot. Cook for 2 minutes to meld flavors.
05 - Pour in vegetable broth and bring to a simmer. Cook for 15 minutes to allow vegetables to soften and flavors to develop.
06 - Remove from heat. Use an immersion blender to puree until completely smooth, or transfer in batches to a countertop blender.
07 - Return the pureed soup to low heat. Stir in whole milk and heavy cream, heating gently until just steaming. Do not allow to boil.
08 - Gradually add shredded smoked Gouda, stirring constantly until melted and fully incorporated. Season with additional salt and pepper to taste.
09 - Ladle the hot soup into bowls. Garnish with chopped fresh parsley and additional shredded Gouda if desired.