Cut broccoli into bite-sized pieces, boil in salted water, then rinse in cold water.
Cut cucumber in half, slice thinly, sprinkle with salt, let it sit, then squeeze out excess moisture.
Boil eggs until fully cooked, peel, and chop into small pieces.
Put broccoli, cucumber, and eggs in a bowl, add mayonnaise, salt, and pepper, then gently mix.
Transfer to a plate and serve.