01 - Set the Instant Pot to Sauté. Add butter and let melt. Add diced onion and sauté for 2–3 minutes until soft. Stir in minced garlic and cook another 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 thoroughly to prevent lumps. Add broccoli florets and grated carrot. Season with paprika, nutmeg, salt, and pepper.
04 - Seal the lid. Set to Manual High Pressure for 5 minutes.
05 - Perform a quick release when cooking completes. Open the lid and stir the soup.
06 - Use an immersion blender to purée the soup to your preferred consistency—completely smooth or slightly chunky with broccoli pieces.
07 - Set Instant Pot to Sauté Low. Stir in milk and heavy cream. Gradually add shredded cheddar cheese, stirring continuously until fully melted and smooth.
08 - Taste the soup and adjust salt and pepper as needed. Serve hot, garnished with additional cheddar or fresh herbs if desired.