La Cura Act of 2004

Cure and Understanding through Research for Alzheimer's Act of 2004 or La Cura Act of 2004 - Authorizes appropriations for conducting and supporting research on Alzheimer's disease at the National Institutes of Health (NIH).

Requires the Director of NIH to ensure sufficient resources for activities relating to Alzheimer's disease and Hispanic communities, including by: (1) increasing efforts in epidemiological work in Hispanic subgroups; (2) allocating resources to the National Institute on Aging Alzheimer's disease research centers and other academic centers involved in such research to increase participation of Hispanics in research and clinical trials in sufficient numbers to draw valid conclusions; and (3) conduct social, behavioral, and health services research to understand the underlying reasons why Hispanic individuals delay diagnosis and underutilize services and to identify culturally and linguistically appropriate approaches to address such delays and underutilization.

Requires the Director to expand and intensify NIH efforts to educate communities about the importance of research relating to Alzheimer's disease and to respond effectively to cultural concerns about participation in such research.

Amends the Public Health Service Act to authorize appropriations for a program of grants to States to carry out demonstration programs related to Alzheimer's disease.

Requires the Secretary of Health and Human Services, acting through the Centers for Disease Control and Prevention, to conduct an aggressive, evidence-based education and outreach program to promote public awareness and risk reduction with respect to Alzheimer's disease, particularly to Hispanic populations.