I'll add some links:
* http://www.arduino.cc/ - a good place to start
* http://www.ladyada.net/learn/arduino/ - adafruit sells kits and stuff and has some pretty well laid out "basic electronics" stuff as well as tons of tutorials/projects (connected to things you can buy for those kits)
* https://learn.sparkfun.com/tutorials - sparkfun also is great in the same regard
* http://hackaday.com/ - has a steady stream of neat "stuff" that's good exposure
* https://www.youtube.com/user/EEVblog - my favorite EE vlog for clear/mostly to the point videos on specific topics. There's lots of stuff on YouTube for just about anything you might be confused about, although quality of presentation varies greatly.
* If you're a "book" person, this is the classic (what ITP uses to teach students) and covers the fundamentals: http://www.amazon.com/Physical-Computing-Sensing-Controlling... - here's the associated site: http://www.tigoe.com/pcomp/code/
I think for someone coming from a pure software background, learning basic electronics, reading schematics, etc will be the biggest challenge, but is something you should try to master w/ breadboards and low current DC before you try anything potentially dangerous.
A few tips from someone that's been making a similar journey over the past few years (I had a bit of EE background but mostly did software, but started doing more and more hardware for fun and now work over the past few years):
* You can never have too many basic components like male/female jumpers, resistors, etc - buying some bulk packs are totally worth it, otherwise you may find yourself diving in parts bins at Radio Shack, which is no fun
* Sparkfun and Adafruit can be convenient, but usually about 10x the pricing on components vs Digikey, Newark, etc, so once you know what you're doing you'll probably want to start moving there
* Similarly, Arduinos are great for learning, but they're rarely the best answer for building things and will depend on the kinds of things you like to build. There are a lot of innovation going on in the microcontroller space right now, so probably best to keep your eyes peeled.
* Picking up a decent variable DC power supply is totally worth it. I've been using a Mastech HY3005D, it's great.
Oh, and a couple random suppliers I like (interesting selections, good pricing):
* http://yourduino.com/ - dirt cheap, but everything I've gotten has worked well. Their wiki has lots of good info (despite the Comic Sans). Shipping from China
* http://imall.iteadstudio.com/ - great prices and interesting selection of stuff. Shipping from China
* http://www.seeedstudio.com/depot/ - huge selection of stuff from lots of little studios (most stuff not in stock, dependent on demand). Shipping from China
* http://numato.com/ - good prices for some really convenient, well documented relays/GPIO. Shipping from India
* http://oshpark.com/ - I just made my first PCBs in EAGLE - these guys were awesome for doing onesies cheap and w/ good turnaround. Based in PDX