PrEP Access and Coverage Act of 2023 This bill requires private health insurance plans to cover prescription drugs that prevent HIV, including related screenings, diagnostic procedures, administrative fees, and clinical follow-ups, without any cost-sharing obligation for the plan holder. Further, insurance plans must not impose any preauthorization requirement for this coverage. These coverage requirements also apply to public health insurance programs, including Medicare, Medicaid, and the Children's Health Insurance Program. Additionally, the bill prohibits denying, limiting, or qualifying coverage or increasing premiums for disability insurance, long-term care insurance, or life insurance policies based on an individual taking medication for HIV prevention. The bill further requires the Department of Health and Human Services (HHS) to award grants to states, or directly to eligible local organizations, to provide uninsured individuals and underinsured individuals access to prescription drugs and related services that prevent HIV. The Centers for Disease Control and Prevention also must develop a public awareness campaign that focuses efforts in communities with a high need for HIV prevention treatment. HHS, the Department of Labor, and the Department of Treasury must enforce and report on private insurers' compliance with the bill's requirements.