Community Access, Resources, and Education for Families Act of 2020 or the CARE for Families Act of 2020 This bill establishes a grant program in the Special Supplemental Nutrition Program for Women, Infants, and Children (WIC) to facilitate collaboration between WIC agencies and clinics and community health partners, including health care providers, social services programs, and early childhood learning and care providers. Among other purposes, WIC agencies and clinics may use grants to (1) promote community health and nutrition, (2) create linkages among such community partners, (3) ensure consistent nutrition education and breastfeeding information, and (4) conduct outreach to existing and potential program participants.