Grate the cucumber using a box grater or food processor. Place the grated cucumber in a clean kitchen towel or cheesecloth and squeeze out as much liquid as possible. This is crucial for a thick, creamy dip.

In a medium bowl, combine the Greek yogurt, squeezed cucumber, chopped dill, minced garlic, lemon juice, and olive oil.

Season with salt and black pepper. Stir everything together until well combined.

Taste and adjust seasonings if necessary. For optimal flavor and texture, cover and refrigerate for at least 30 minutes before serving.