California Central Coast Conservation Act This bill prohibits the Bureau of Land Management from administering an oil and gas leasing and development program on the Central Coast of California (e.g., Fresno, Monterey, and San Benito Counties) until it completes and publishes a supplemental environmental impact statement (EIS) assessing the environmental effects of such leasing and development, including the effects on air quality, seismicity, and greenhouse gas emissions. In addition, the bill establishes requirements for the Environmental Protection Agency's review of the EIS.