How to turn off Private Browsing mode on iPad 9

Assuming that you are already in Private Browsing mode, to return to regular browsing, tap the sidebar n Tabs button (highlighted here in blue), that appears above the Private button.

If you don’t already have any open tabs, instead tap Start Page.

See >>> Turn Private Browsing on or off on your iPad - Apple Support

To access Private Browsing in iPadOS15/16, it is necessary to first summon the Safari Sidebar using the button at upper left of the screen [1] - and from the menu tap the Private toggle button [2].

To return to regular browsing, tap the sidebar n Tabs button (highlighted here in blue), that appears above the Private button.