No “tax free” allowances are provided to governor in council appointees, however, some of these appointees do receive allowances which are specified as being “net after tax”. They are not tax free. These types of allowances normally cover travel and living expenses incurred during temporary relocation and are generally in line with those available under the Treasury Board integrated relocation policy.
In the House of Commons on September 28th, 2000. See this statement in context.