It is all the same GPS accuracy. There is no military vs civilian GPS. There are different devices that can make better use of GPS in order to be more accurate. But this is available to everyone.
10 Common Myths Surrounding GPS
3. Military GPS is more accurate than civilian GPS
The accuracy of GPS signals in space is the same for both military and civilian GPS, according to the GPS.gov website. The main difference, for the time being, is that military GPS operates on two signals, while civilian GPS operates on one. However, civilian users will soon have two new signals to operate on. In June 2014, a group of specialists from the 2nd and 19th SOPS, Space and Missile Systems Center, Air Force Space Command, the Department of Defense and Department of Transportation completed an upgrade to current GPS satellites allowing them to broadcast the L2C and L5 civilian signals. The signals are not yet fully operational, but once they are, civilian users will have access to the two signals as well.