The iOS and iPadOS 13.2.2 updates are available on all eligible devices over-the-air in the Settings app. To access the updates, go to Settings > General > Software Update.
iOS and iPadOS 13.2.2 are minor updates focusing on performance improvements and bug fixes for issues that were not able to be addressed in iOS 13.2 rather than major outward facing changes.
According to Apple's release notes, the update fixes an issue that could cause apps running in the background to unexpectedly quit, which led to background apps refreshing more often than normal. These frequent app refreshes of Safari, YouTube, and other media apps, led to multiple user complaints. Apple has addressed this problem in the iOS 13.3 beta too.