Earliest copies extant are from the fifth century, but indications from citations are that the translation dates to the late second century.
Keep in mind that the canon of the New Testament wasn’t even set until the mid-fourth century, and the latest books that were determined to be canonical were written at the very end of the first century, possibly even the beginning of the second.
Also keep in mind that the vast majority of people were illiterate, so the proclamation of the Gospel was by word of mouth, not by “print” (books were not, of course, printed, they were hand-copied on vellum, costing 3 years’ wages and far too large tuck under your arm while going door-to-door . . .) those who were literate were able to read Greek, as it was the language of the empire, the way that people from far-flung regions communicated with each other.