Kerry,
Assuming you have just a
provisional driving licence at the moment (because some people take driving lessons as they didn't drive for a long time after passing their practical test), then you must have told the insurance company with which you have third party fire and theft cover that your licence is just provisional. This will mean that the insurance company knows that you will be getting driving practice in your car.
You need to check your insurance policy to see what has been stated on there - if you see that your licence type is listed as provisional and not full UK driving licence, then you are insured when learning with your driving instructor. If in doubt, then you can always call the insurer to ask.