Dream Act of 2019 This bill provides certain aliens with a path to receive permanent resident status and contains other immigration-related provisions. The Department of Homeland Security (DHS) or the Department of Justice (DOJ) shall provide conditional permanent resident status for 10 years to a qualifying alien who entered the United States as a minor and (1) is deportable or inadmissible, or (2) has deferred enforced departure status or temporary protected status. The bill imposes various qualifying requirements, such as the alien being continuously physically present in the United States since four years before this bill's enactment, passing a background check, and being enrolled in or having completed certain educational programs. DHS shall remove the conditions placed on permanent resident status granted under this bill if the alien applies and meets certain requirements, such as completing certain programs at an educational institution, serving in the military, or being employed. An alien shall have the right to administrative and judicial review of the denial or revocation of an immigration status granted under this bill. Furthermore, an alien shall be appointed counsel upon request when seeking judicial review of a provisional denial of an application for permanent resident status under this bill. DHS may not use information from applications filed under this bill or for Deferred Action for Childhood Arrivals status for immigration enforcement purposes. DHS shall establish a grant program for nonprofit organizations that assist individuals with certain immigration-related issues.