Hi Jody and welcome to you.
You asked whether it would benefit you to know what your blood sugar levels are during this 3 months you have been given to get them under control. If you don't test then how are you going to know? Unfortunately, although the advice you have been given that you don't need to test is completely illogical, I'm afraid the nurse is simply following the instructions of your local PCT who will have told GP practices not to prescribe test strips in order to reduce costs. This is happening all over the country - have a good look round the forum and you will find it is a subject that crops up in pretty much every other thread.