James, yes but only for firearms listed in Buds Qualified Professional Category. You can submit your DD-214 credentials to apply here : budsgunshop.com/qualified_professional_discounts.php

As randy said there is the qualified professionals discount which includes veterans.
List of QP handguns here
budsgunshop.com/search.php/type/Handguns/exclusive/qp />-------------------------------
Rifles here
budsgunshop.com/search.php/type/Rifles/exclusive/qp />------------------------------------
Shotguns here
budsgunshop.com/search.php/type/Shotguns/exclusive/qp />--------------------------------
Ammo here
budsgunshop.com/search.php/type/Ammunition/exclusive/qp />-----‐----------------------------------
How to sign up and submit credentials here
budsgunshop.com/qualified_professional_discounts.php

Buds really does not have a military discount our service (USN Ret.) gets us the ability to buy Qualified Professional discounted packages
Many major manufacturers offer discounts to a large list of individuals they consider Qualified Professionals. Although commonly referred to as Law Enforcement, LE or Veterans Discounts, these discounts are actually also available to many other types of Qualified Professionals, including :
Active, Honorably Discharged or Retired Military personnel - all branches (veterans, including medical discharges/disabled)
National Guard personnel - all branches
Military Reserve personnel - all branches
CAP - Civil Air Patrol
Fire Fighters - including volunteers
Paramedics and EMTs
TSA Employees
Commercial Pilots
Federal Flight Deck Officers
Air Marshals
Court Judges
District and Deputy District Attorneys
All sworn or retired Law Enforcement Officers - city, county, state, and federal
All Corrections and Probation Officers
State Licensed Security Companies
State, Federal, and Private Security Guards
DOD Contractors and the link budsgunshop.com/catalog/qualified_professional_discounts.php />