Internet has transformed the way many people, myself included, travel. It has become an indispensable tool for me when I travel.
Typically, I will use internet to buy plane ticket and book hotel/apartment, book online tickets for popular destinations to avoid line up, book free walking tour, find transportation and googlemap, find good restaurant and flag tourist traps.
Without internet, you will need to do a lot of research ahead of time and meticulously plan your trip to have similar experience having internet. Or you need to join a guided tour.