That looks like a pressure version of a blotter book. Nice collector's item, but don't get your prints anywhere near it unless you're able to replace the blotter material with new, clean photographic blotter. If you *can* replace the blotter material (it might be just loose between the boards), follow David Vestal's process for blotter drying and you'll get the flattest FB prints you've ever seen.
It might also be a flower press; I think it's probably too thin for a book press, but it would accomodate a good bit more thickness than what's shown there.