The first update to Apple iOS 6, 6.0.1 is now available for download. Thanks to BGR.com for posting the details earlier today.
As the BGR article mentioned, there is actually a bug in iPhone 5 that prevents you from installing software updates wirelessly over the air (OTA). So first you have to install the patch to fix that.
For iPhone 5, go to Settings, General, Software Update and install the patch fix to allow OTA wireless updates. When that is complete, go back to Software Update and install the 6.0.1 update. It will reboot a time or two and then you'll be all set.
Here is a list of items the update fixes:
1. Fixes a bug that prevents iPhone 5 from installing software updates wirelessly over the air
2. Fixes a bug where horizontal lines may be displayed across the keyboard
3. Fixes an issue that could cause camera flash to not go off
4. Improves reliability of iPhone 5 and iPod touch (5th generation) when connected to
encrypted WPA2 Wi-Fi networks
5. Resolves an issue that prevents iPhone from using the cellular network in some instances
6. Consolidated the Use Cellular Data switch for iTunes Match
7. Fixes a Passcode Lock bug which sometimes allowed access to Passbook pass
details from lock screen
8. Fixes a bug affecting Exchange meetings