Peel and slice the kiwi. Line a sheet pan with a piece of parchment paper and lay the kiwi in a single layer. Freeze for at least an hour.
When the kiwi is frozen, combine all ingredients in a food processor and blend for 3-5 minutes. When it's an even texture, it's done! Taste and add more lemon or honey if needed.
Serve immediately as soft-serve or freeze overnight for a thicker texture.