Bring water to a boil. Once it comes to a boil, add the green tea bags to the hot water and remove from heat. Let these steep for 5 minutes.
While the tea steeps, make the boba by bringing water to a boil in another small saucepan. Add the boba and cook until it floats to the surface. Strain out the cooked tapioca pearls and put them into the bottom of a serving glass. Add a few drops of honey to the boba and stir. This helps to keep them from sticking to each other.
Remove the tea bags from the tea. Add tea liquid, honey, and honeydew to a blender and blend until smooth.
Strain the honeydew mixture through a fine mesh sieve into your serving glass with the boba. Use the back of a spoon to push the liquid through the sieve.
Add ice cubes and milk and stir. Enjoy with a wide straw (for the boba, of course!)! This can also be enjoyed hot - to do that, heat the milk, skip the ice, and combine the hot milk and honeydew mixture in a mug with boba and enjoy!
Nutritional information is an estimate and for informational purposes only.