If you are curious if you can get a discount with Verizon, or any other company for that matter, go ask a salesperson. They have a big three ring binder book with hundreds of companies that they do business with and what kind of discount you can receive.
I am a FedEx pilot and just switched from AT&T to Verizon. I went into the Verizon store with my compnay ID badge, picked out my plan and phones and got a great discount.
Hope this helps, good luck.