Trying to view an online training video, but pop up said I neded Adobe flash player to watch video. Tried to download adobe flash player, but message said iPad does not support this download. Does Apple have an app that is similar to the Adobe flash player?

Sorry but iPad, or any Apple product, does not support Flash.
There may well be an app for the site you want to view video on.
Sometimes this is available through iTunes.

There is no flash on IOS, many content providers are switching to HTML 5 that allows other methods of embedding video content.
However flash files will not play on iDevices.