The publisher Taschen Verlag has just published a facsimile of the exemplar in Göttingen (which they claim to be the best, both in paper quality and illustrations).
Awesome. I learned Classical Latin in school. Would I be able to read the Latin of the Gutenberg Bible with moderate effort or is that Latin too different and peculiar?
The Latin of the Gutenberg Bible is St. Jerome's, so from about 400. It should be nothing that you would find difficult. I imagine that there will take some but not much time to figure out the abbreviations, ligatures, etc.