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Apps are downloaded from the AppStore, and an Apple ID is needed to download apps.
There is an App Store app on the iPod Touch that is used to download apps.
Either download and read the users manual from 'support.apple.com/manuals or take the iPod Touch into an Apple Store and ask the people there
on the app store there is an area with a couple hundreds of free apps
To add apps to the iPod Touch, you can either download them from the App Store via Wi-Fi on your iPod Touch, or you can sync your iPod Touch with iTunes through your computer.