Bring 1 cup salted water to a simmer. Remove from the heat and add 1/2 cup bulgur; cover and let sit 20 minutes. Fluff with a fork, then let cool. Toss with 4 diced Persian cucumbers, 2 cups diced honeydew melon, 1/2 thinly sliced small red onion, 1 cup crumbled feta, 1/4 cup each chopped fresh mint and dill, 1/3 cup olive oil and 3 tablespoons lemon juice. Season with salt and pepper.