National Plan to End Parkinson's Act This bill requires the Department of Health and Human Services (HHS) to carry out a project to prevent and cure Parkinson's disease (a progressive brain disorder that causes unintended or uncontrollable movements) and related conditions. Among other components of the project, HHS must (1) implement and periodically update a national plan to coordinate and guide efforts to prevent and cure the disease; (2) improve diagnosis, treatment, and care of those with the disease; and (3) address health and other disparities related to the disease. HHS must also conduct annual assessments on the preparation for and response to the increased burden of Parkinson's disease. In addition, the bill establishes a council, comprised of federal and nonfederal stakeholders, to advise HHS on and make recommendations concerning the prevention and cure of Parkinson's disease. The bill's provisions terminate at the end of calendar year 2035.