Peel the cucumbers if desired, then slice them very thin using a sharp knife or mandoline.
Place them in a bowl, sprinkle lightly with salt, and let sit for 10 to 15 minutes to draw out excess water.
Drain the cucumbers and gently pat dry with a paper towel.
In a separate bowl, whisk together sour cream, lemon juice, dill, sugar, and pepper until smooth.
Combine the dressing with cucumbers and toss gently until evenly coated.
Chill for at least 15 minutes before serving for the best flavor and texture.