Comprehensive Addiction and Recovery Act of 2014

Comprehensive Addiction and Recovery Act of 2014 - Directs the Department of Health and Human Services (HHS) to convene a Pain Management Best Practices Interagency Task Force.

Authorizes the Attorney General to make grants to address drug abuse, including for educational efforts, communitywide strategies that address local drug crises, alternative to incarceration programs, disposal sites for unwanted prescription medications, educational programs for offenders, programs to address the use of opioids among pregnant and parenting female offenders, and veterans treatment court programs.

Amends the Public Health Service Act to authorize the Center for Substance Abuse Treatment to award grants to state substance abuse agencies, units of local government, nonprofit organizations, and Indian tribes or tribal organizations that have a high rate, or have had a rapid increase, in the use of opioids.

Directs the Attorney General to make grants for medication assisted treatment programs through criminal justice agencies, initiatives involving young people, and recovery services.

Amends the Higher Education Act of 1965 to prohibit the Department of Education (ED) from including any question about the conviction of an applicant for the possession or sale of illegal drugs on the Free Application for Federal Student Aid (FAFSA) form.

Directs HHS to establish a bipartisan Task Force on Recovery and Collateral Consequences (collateral consequences are penalties imposed on an individual as a result of a criminal conviction but not as part of the court judgment, or optionally imposed by an administrative agency, official, or civil court).

Requires grants under this Act to give priority to states that provide civil liability protection for individuals administering naloxone (a prescription drug used to rapidly reverse an opioid overdose) to counteract opioid overdoses.