Q: How do I get the iOS 6 on my iPad 2

If you already have iOS 5+ (Settings > General > About > Version) then you should have a Settings > General > Software Update option for direct update on the iPad. If you have iOS 4 then you will need to do the update via your computer's iTunes (you can also update via your computer if you are on iOS 5+). Either way you should do a backup and copy any purchases off the iPad first.

To update via your computer, connect the iPad to your computer's iTunes and copy any purchases off the iPad to your computer via File > Transfer Purchases. You may also want to copy photos and any important documents off the iPad as well e.g. via the file sharing section at the bottom of the device's apps tab when connected to iTunes, via wifi, email, dropbox etc - they should be included in the backup, but it's best to have a copy of them outside of the backup just in case. You can then force a backup of the iPad by right-clicking the iPad 'Device' on the left-hand side of iTunes and selecting 'Backup'.

Then start the update by selecting the iPad on the left-hand side of iTunes, and on the Summary tab on the right-hand side clicking the Check For Updates button

Updating to iOS 5+ : http://support.apple.com/kb/HT4972

iOS 6 will remove the built-in YouTube app and the Maps app will change.

See

iOS 5: Updating your device to iOS 5 or Later

http://support.apple.com/kb/HT4972

How to install iOS 6

http://www.macworld.com/article/2010061/hands-on-with-ios-6-installation.html

iOS: How to update your iPhone, iPad, or iPod touch

http://support.apple.com/kb/HT4623

If you are currently running an iOS lower than 5.0, connect to your computer & click on the "Update your device using iTunes".

Tip - You may need to disable your firewall and anitvirus software temporarily.  Then download and install the iOS update. Be sure and backup your iPad before the iOS update. After you update to iOS 5/6.x, the next update can be installed via wifi (i.e., not connected to your computer).

 Cheers, Tom