Fill a glass with ice and pour in the lavender syrup. Slowly add the cold milk over the ice, allowing the layers to separate.
In a matcha bowl, use a fine sieve to sift the matcha powder to remove clumps. Add 1 tablespoon of hot water (not boiling) and whisk with a bamboo whisk until a paste forms.
Pour another 3-4 tablespoons of water and whisk in a zigzag motion until frothy and creamy.
Gently pour the whisked matcha over the milk, letting the layers form naturally. Stir before drinking to blend the flavors.