Bring water to a boil in a saucepan. Stir in the blueberries, Truvia, cinnamon, and ginger.
Boil for 3 minutes, stirring occasionally.
Reduce heat and simmer 10 minutes.
Remove from heat and let stand to cool.
Combine cooled blueberry mixture and yogurt in a blender and process until smooth.
Chill, covered, until ready to serve.