Probably the best piece of advice for a complete n00b is to think about creative ways to steady the camera. That can be anything from tripods and associated gadgets to how you hold it (or what you're leaning against when you do), and will allow the tech to do its thing much more successfully without any specific skills.
Composition is a black art, but linked to the above: don't be over-enthusiastic with the zoom. It's easy to crop photos later, but you can't un-shake them.
Think about lighting, even if you don't have any actual control over it. Avoid shooting into the sun, for example.
Spot metering and exposure compensation are camera features that are well worth learning to use, for when the automagicness doesn't quite have the desired result.
But most important - and the bit I have the most trouble with - get the camera out and take photos as much as possible.