If we're to assume the internet would switch off overnight but ill effects such as infrastructure coming to a halt wouldn't be an issue, then from a work perspective I think things would be interesting.
As I work in both print and online publishing then the online side of things would disappear, and that would leave something of a dent in the company's finances. But then the print side would become as vital for disseminating information as it was before the internet existed - advertisers would probably compete for space in the pages vastly increasing revenue, and magazine sales would likely go up (and profits go up exponentially) as consumers are forced to actually spend money on magazines and papers to access their news rather than read it all for free on the internet.
Working on a monthly title I'd probably also have a lot more time to concentrate on writing stories, rather than spending a lot of my time trying to meet daily deadlines for news and reviews for our website. Research would be a lot more difficult, as would keeping in contact with colleagues, but it would place a lot more value on face-to-face contact. Sending the magazine to print would be more like it was in the old days, actually delivering files on physical media rather than sending them via ftp or whatever. I'm sure there'd be other aspects that would be worse or better too, but that's just what springs to mind.
On a personal level I'd have a lot more difficulty. Keeping in contact with close friends and family wouldn't change much, but keeping in contact with the huge number of friends and acquaintances I've made worldwide would be much more difficult, and it would certainly end a lifeline to the ability to reach like-minded people in the same way. It'd also hinder some real-world hobbies simply through inability to shop online - physically working on my car wouldn't change for example, but all the work I've done on it recently has been using parts and tools I ordered online.
Overall I'm gonna say it would be a bad thing, even though I may be focused a little more on real-world pursuits if the internet wasn't around. At its most basic, I've made some great friendships via the internet, and it's a hugely valuable resource to me for that alone.