01 - Set the Instant Pot to Sauté. Add butter and let melt. Add onion and sauté for 2-3 minutes until softened. Stir in garlic and cook for 30 seconds until fragrant.
02 - Sprinkle flour into the pot and cook, stirring constantly, for 1 minute to form a roux and eliminate raw flour taste.
03 - Gradually pour in vegetable broth while whisking vigorously to prevent lumps from forming.
04 - Stir in broccoli florets and grated carrot. Season with paprika, nutmeg, salt, and pepper.
05 - Seal the lid and set to Manual High Pressure for 5 minutes.
06 - Perform a quick release to release all pressure. Open the lid and stir the soup.
07 - Use an immersion blender to puree the soup to your desired consistency, either completely smooth or with some texture remaining.
08 - Set Instant Pot to Sauté Low. Stir in milk and cream. Gradually add shredded cheddar cheese, stirring constantly until fully melted and smooth.
09 - Taste and adjust salt and pepper as needed. Serve hot with additional cheddar or fresh herbs for garnish if desired.