To soften the cream cheese, place it on a plate and microwave for 5 seconds on High power. (Alternatively, allow the block of cream cheese to sit at room temperature for 30 minutes.)
Place the cream cheese, pumpkin puree, powdered sugar, cinnamon, pumpkin pie spice, and vanilla extract in a food processor (or a stand mixer fitted with paddle attachment or electric hand mixer). Blend until fully combined, stopping and scraping with a spatula as needed.
Serve immediately or refrigerate until serving. Stores refrigerated for up to 1 week.