It's 1975 and this man is about to show you the Future

Something about these slides, the font usage, the repetition of the words and phrasing, reminds me of the Video Toaster "Revolution" Demo. I can almost hear the same voice behind these slides. It was about 15 years after these slides, but it seems almost just as old, from another age.

http://www.youtube.com/watch?v=nymVNhy4dw8

I don't get it either. And I was alive then.

ARPANET had already existed for several years. The concept of networking predates 1975 by quite a bit. Though the definition of the word "online" may have evolved over time, it is entirely plausible that its use in this context is consistent with today's meaning.

Then what does "bolder" mean?

It means immediately available, as opposed to batch processed - you ask the system for a report and there it is instead of waiting for your request to be processed and delivered at some later time. It is not directly related to networking but it's much more specific than 'on a computer'.