01 - Set Instant Pot to Sauté function. Melt butter, then add diced onion and sauté for 2–3 minutes until softened. Add minced garlic and cook for 30 seconds until fragrant.
02 - Sprinkle flour into the pot and cook while stirring constantly for 1 minute to form a smooth roux and remove 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 and set to Manual High Pressure for 5 minutes. Once complete, perform a quick release to release pressure immediately.
05 - Open the lid and blend soup using an immersion blender until smooth, or leave slightly chunky for texture preference.
06 - Return pot to Sauté on Low setting. Stir in milk and heavy cream. Gradually add shredded cheddar cheese while stirring until completely melted and smooth.
07 - Taste soup and adjust seasoning as needed. Serve hot, garnished with additional cheddar or fresh herbs if desired.