Paid Sick Days for Public Health Emergencies and Personal and Family Care Act This bill expands the availability of paid sick time by requiring employers with at least one employee to provide a minimum amount of accrued paid sick time per work week and additional paid sick time in the event of a public-health emergency such as the coronavirus (i.e., the virus that causes COVID-19). Specifically, the bill requires employers to grant at least 1 hour of accrued paid sick time to each employee for every 30 hours worked, up to a minimum of 56 hours, or 7 days, of paid sick time per year. Accrued paid sick time may be used for, among other reasons, an absence from work that is taken (1) due to a medical condition or illness or for the diagnosis, care, or prevention thereof; (2) to care for a child, spouse, domestic partner, parent, or other close relative with a medical condition or illness, or for the diagnosis or prevention thereof; (3) during a public-health emergency when the employee's workplace has been closed or the employee has been exposed to a communicable disease and may pose a risk to others; or (4) to care for a child or close relative during such public-health emergency, if such relative has been exposed to a communicable disease or the child's school has been closed. Further, employees are immediately entitled to up to 14 days of additional paid sick time if a public-health emergency is declared. This additional paid sick time may be used during the public-health emergency for the same purposes as accrued paid sick time.