First of all, even at the time those with a background in this stuff knew already that the "threat" posed by that solar storm was all hype. However, the theory is sound, and a big enough solar storm could potentially disrupt electronics.
Warning:
Little-to-none, really. Solar storms are very hard to predict, and when an eruption does occur that could have such catastrophic effects, it moves far faster then we can see it and then brace for it. The only defense we can mount is to prepare for such an event before it occurs.
Edit: Twelfth points out in the comments that we're actually far better these days at detecting and predicting these types of events. I admit I haven't looked into the state of affairs on this point in quite some time, so the preceding paragraph is quite probably quite obsolete.
Immediate Effects:
All unshielded electronics are irreparably "fried" as the EMP caused by the magnetic storms induces massive currents in every unshielded conductor, overloaded and literally burning up sensitive electronics. This means computers, cell phones, cars, televisions -- just about anything and everything that you have to plug in or stick a battery in.
Similar induced currents disrupt and in many cases destroy the infrastructure for generating and distributing electricity. Not the wires themselves, mind you, but the transformers that make it all work will be blowing left and right, not to mention all the computers that control the generators themselves (which, being basically big conductors, may also face damaging inductive currents as well).
Also, don't listen to that horrid movie Broken Arrow -- turning your electronics off will not prevent the EMP from destroying them. It may reduce the overall current and potentially preserve a few components, but really it's the induced current itself that causes the damage, not the combination of the regular current with the induced one.
Note that shielding electronics against EMP is actually rather simple, albeit not exactly cheap and, thus, not extensively done. But anything shielded (much -- but not all, not by a long shot! -- of the military's hardware is shielded, and with the much over-hyped fears of terrorism these days some of our civilian infrastructure has been shielded as well) will survive more-or-less unscathed. Don't underestimate the ability of panicked people to destroy what the storm leaves untouched, though!
Afterwards:
There's no problem generating electricity again after the storm passes (the storm itself will be shorter-lived than the widespread panic and civil unrest it causes). At least, not with generation itself -- there's a lot of work ahead to restore modern-era generators, since they're computer controlled and, as mentioned above, computers have been destroyed. Relatively easy to retrofit them to be run manually in the meantime, however. We'll be able to rebuild, though, and we won't really be thrown back into the 18th century -- it might look somewhat like it at first, but thanks to those not-quite-obsolete things called "libraries" most knowledge will remain intact and, with that, we'll be able to get ourselves back to 21st-century tech in a much shorter time frame.
That's not to say that we wouldn't regress in many other ways, but your question seems to be asking about the technological impacts so I'll restrict my answer to those as well.