Place kiwi, 1/2 cup water and 1 tablespoon sugar in a food processor; pulse until combined. Pour into molds or paper cups. Top molds or paper cups with foil and insert sticks through foil. Freeze until firm, about 2 hours.
Place blueberries and the remaining water and sugar in food processor; pulse until combined. Spoon over kiwi layer. Freeze, covered, until firm, about 2 hours.
Wipe food processor clean. Repeat with grapes and grape juice. Spoon over blueberry layer. Freeze, covered, until firm.