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