I can't remember, now, whether this was the first Conan book I ever read. I think it was, but after 40+ years I just can't be sure. What I do know is that it's my favorite, and that it contains my favorite Conan story, "People of the Black Circle." That story to me encapsulates the essence of Conan the barbarian.
And yet it's not a typical story. Though Conan did spend several years, off and on, in the eastern part of the Hyborian world, corresponding to our Middle East and Far East (this story involves analogs of India and Afghanistan, something that struck me the first time I read it), his strongest associations are with the western realms, in what corresponds to our Europe and Africa. Knowing Conan as I do now, it seems slightly strange for him to be fighting with the hill tribes, when I know that he fits in better in western armies and settings.
Nevertheless, I do love that story, and I do love this book. Here we have the very best of Conan, whether by Robert E. Howard alone, or with the help of posthumous collaborations (which isn't a new concept - August Derleth did it with H.P. Lovecraft...and both Derleth and Howard were members of what we know as the Lovecraft Circle, other writers who corresponded regularly with the Providence master of horror; as a matter of fact - and yes, I'm digressing - Howard wrote a great horror story called "Pigeons From Hell").
I think that if you enjoy sword and sorcery fiction, you'll love this book. If, on the other hand, the idea of mere entertainment, without any attempt to promulgate profound social ideas, turns you off, then probably you ought to steer far clear of Conan, whether in this book or any other.