To Clone the Role, navigate to:
  1. Core > Security
  2. Select Roles
  3. Click Add
  4. Give the Role a Name 
  5. Select the Radio Button next to Platform Manager 
  6. Click Next
  7. Click Next Again
  8. Search for and Select the Name(s) of the User(s) to be added to the Role
  9. Click >> to move the Users over to the Added Users Section
  10. Click Save & Exit
  11. Click into the New Role Name
  12. Click Tasks
  13. Click Edit in the upper right
  14. Mark the Task for Emergency Bulletin
  15. Click Save & Exit

Log out, and back in as the User, and they will now have access to the Emergency Bulletin. See How do I add an emergency bulletin? on how to create an Emergency Bulletin after the Role has been added.