Getting Early Treatment and Comprehensive Assessments Reduces Emergencies Act of 2020 or the GET CARE Act of 2020 This bill directs the Centers for Disease Control and Prevention (CDC) to undertake actions to increase the number of individuals seeking recommended preventive care services, particularly during the COVID-19 (i.e, coronavirus disease 2019) pandemic. It also authorizes the Department of Health and Human Services to award grants to states, other jurisdictions, and certain nonprofits for activities and research related to preventive care services. Specifically, the CDC must award competitive grants to carry out a national campaign to increase awareness of, and disseminate information about, preventive care services. In carrying out the campaign, the CDC must consult with relevant public health and health care experts. The campaign must focus particularly on medically underserved communities, communities of color, and communities disproportionately affected by COVID-19. It must address, among other topics, misinformation about seeking preventive care during the COVID-19 emergency and the safety of health care facilities.