Can I find the history of sites searched in private browsing on iPad

If you are using private browsing then history isn't stored. If you still have the tabs open then tapping the back arrow should take you back through that tabs history, but it's not stood in the History bookmarks

Safari doesn't remember pages visited with Private Browsing enabled > iOS: Safari web settings

No you can't. That's why it's called private browsing - it does not keep the histories.