There must be a substantial difference in grammatical structure between the modern and ancient Greek dialect. I had a Greek speaking student in my Classical Greek class who was really lost with Homer and Herodotus.
I have a bilingual New Testament (original text with facing Modern Greek, which is probably deliberately old-fashioned). Here is Matt. 6.11-12 from the Lord's Prayer (capital E stands for eta, small e for epsilon, capital O for omega and small O for omicron):
Koine:
ton arton hEmO ton epiousion dos hEmin sEmeron, kai aphes hEmin ta opheilEmata hEmOn, hOs kai hEmeis aphiemen tois opheiletais hEmOn.
Modern Greek:
to kathimerino mas psOmi dos mas simera ke sinkhOrEse o, ti kako ekhome kani, opOs ke emis sinkhOroumen ekinous pou mas ekhoun kani kako.