Line rimmed baking sheet with parchment paper; arrange banana in single layer on baking sheet. Freeze banana for 20 minutes or until very cold, but not completely frozen.
Place berries, banana, Coffee mate natural bliss Creamer, apple juice and lemon juice in blender; cover. Blend until smooth. Taste for sugar and lemon; if desired, add sugar or more lemon juice and blend until combined (if using fresh berries or fruit, you may need to sweeten). Serve immediately.
*If using fresh berries or fruit, line rimmed baking sheet with parchment paper. Arrange berries/fruit in single layer and freeze for 20 minutes or until nearly frozen.