Freeze ice cream maker according to directions before beginning.
Combine pineapple, sugar, and water in a blender and puree until smooth or nearly smooth. Add whipping cream and pulse 10-20 times to combine; transfer to the fridge for 1 hour to chill completely.
Pour chilled mixture into the frozen ice cream maker and process according to manufacturer's directions. Transfer sorbet to a freezer safe bowl and freeze for 2+ hours before serving. Sorbet may require 5-10 minutes to soften before serving.