Begin by mincing the garlic cloves and setting them aside.
Pour olive oil into a skillet and warm over medium heat until it shimmers gently.
Sauté the minced garlic in the hot oil until fragrant and just turning golden, about 1 minute.
Transfer the cooked garlic and oil to the slow cooker, then add pumpkin purée, apple cider, smoked paprika, salt, and black pepper.
Stir everything together thoroughly to combine the flavors evenly.
Cover the slow cooker and cook on low for 6 hours, allowing the flavors to meld and the pumpkin to become ultra-smooth.
Once cooking is complete, use an immersion blender directly in the slow cooker to blend the soup until smooth and velvety.
Pour in the heavy cream and stir gently to incorporate, adjusting thickness with vegetable broth if necessary.
Turn the slow cooker to warm and allow the soup to heat through for 5 minutes, creating a cozy aroma.
Taste and adjust seasoning with more salt, pepper, or smoked paprika if desired.
Serve the soup hot, garnished with a drizzle of cream or a sprinkle of smoked paprika for presentation.