I cannot open the link that sunray provided, but I think there is one part of his response that needs to be clarified. As of two years ago, a non-resident Canadian could NOT hunt with a "licenced guide." They could ONLY hunt with a licenced OUTFITTER. There is a significant difference, as there are lots of folks who have guide licences, but not all that many who are licenced outfitters. This rule may have changed, of course (but I doubt it). So not only do you need to buy the licence through the outfitter as sunray has noted, you need to hunt with them too.
Two years ago when I looked seriously at a Newfoundland moose hunt, the least expensive hunt was in the order of three thousand dollars, not counting travel to and from Nfld, and thre average was tending into the five grand territory. It was also evident that most of the outfitters' business was coming from South of the border. Success rates are fabulous, particularly on the West side of the island and up the great northern peninsula.
Of the outfitters who answered my queries, one in particular struck me as being somebody who would be good to deal with. I do not recall the name of his outfitting business, but his last name was Patey and he was in the area of the central west coast IIRC.
Doug