Medicare’s General Enrollment Period (GEP) is coming to an end on March 31. If you did not enroll in Medicare when you originally became eligible for it, you can sign up during the GEP, which is from January 1st through March 31st of every year. Your coverage will begin July 1st of the year you sign up. You will have to pay a Part B premium penalty for every year you delayed enrolling in Medicare Part B.