Printing and the ability to share texts with a wide audience affects us in the same way it affected people hundreds of years ago. As the world grows more and more literate, printing allows ideas to travel around the world to read and thought about, and perhaps influence others. The ability of computers to share print/text is making the world a smaller and small place each day.
Printing affects our society today in the ways already indicated. If anything, we have many, many more options when we do printing today than people had even 30 years ago. Even the simplest computers provide access to all kinds of fonts and formats. It's possible for one person, working alone at home, to produce printed products that look as if they were professionally designed. The rise of computers has paradoxically benefitted the art of printing.
There's more printed media since the Age of Computers, it's just not in the traditional forms of newspaper and book. Now that everyone has a computer with a printer attached, (or at least access to one) anything can be printed. As noted, this may be the interim age when printing is at a maximum; with new devices like the IPad, the need for even individuals to print out on paper may finally end.
As much as technology has advanced, I still love holding an actual book in my hands. I feel as if there is no feeling like the turning of a page. Not only can I see my progression, I also look at it metaphorically: each turned page brings something new. I, therefore, am still a paper junkie.
Printing per se doesn't affect us as much as it once did since we use electronic texts so much, but it's still really important. The most obvious example is in how much it helps us to become educated. Printing technology makes it possible for children in schools to have all sorts of books that help them learn. Were it not for printing, this would not be possible. We would be much less educated and our society would therefore be less advanced technologically.