The Department of Health have published information on demonstrating your vaccination status when travelling abroad. Please read this guidance as it explains how you can obtain proof of vaccination through the NHS App or by calling 119 from 17th May. As the article stresses: "Do not contact your GP surgery about your COVID-19 vaccination status. GPs cannot provide letters showing your COVID-19 vaccination status."
The NHS App can also be used to order repeat medication, view your medical record and soon you will be able to use it to book GP appointments. If you have a smartphone and a driving license or passport you can register yourself on the NHS App without contacting the Practice. The whole registration process takes about 10 minutes.