This checkout generally consists of about one hour of classroom time to become familiar with the unique nature of American air space and then one hour in the air. Make sure that at the end of the flight, you verify somewhere in writing that you have gone through the process – the best place is your logbook. In case of an accident, the insurance company will want to know that you have undergone proper checkout instruction. Also, ask about which plane models you are currently checked out for. There are some schools where checkout in a C172R does not necessarily authorize you to also fly a C172SP, even if both have the same instrumentation.
It is also entirely possible to have a more in-depth checkout process so that it can also be simultaneously entered as a biennual flight review (BFR).