01 - Set Instant Pot to Sauté function. Melt butter, add diced onion and cook for 2–3 minutes until softened. Add minced garlic and cook for 30 seconds until fragrant.
02 - Sprinkle flour into the pot, stirring constantly for 1 minute to form a smooth roux and remove raw flour taste.
03 - Gradually pour in vegetable broth while whisking continuously to prevent lumps from forming.
04 - Add broccoli florets and grated carrot. Season with paprika, nutmeg, salt, and pepper. Stir to combine.
05 - Seal lid and set to Manual High Pressure for 5 minutes.
06 - Perform quick release when cooking completes. Open lid and stir.
07 - Use immersion blender to purée soup to desired consistency, either completely smooth or slightly chunky.
08 - Set Instant Pot to Sauté Low. Stir in milk and heavy cream. Gradually add shredded cheddar cheese, stirring until fully melted and smooth.
09 - Taste and adjust seasoning with salt and pepper as needed. Serve hot, garnished with additional cheddar or fresh herbs if desired.