Measure the bulgur into a large bowl and add boiling water just to cover. Let sit 30 minutes or until the water is completely absorbed. If any water remains after 30 minutes, drain it by transferring the plumped bulgur into a fine mesh sieve.
In a non-reactive bowl, whisk 1/3 cup reserved pear juice with the lemon juice, oil, pepper and salt.
Combine the cooled, drained bulgar with the pears, cucumber, green onions, mint and dill. Add the dressing, tossing gently to thoroughly coat and combine the ingredients. Serve immediately, or refrigerate until ready to serve.