What 29 CFR 1910.133 requires (plain English)
29 CFR 1910.133 requires eye and face protection in general industry whenever workers are exposed to hazards from flying particles, molten metal, liquid chemicals, acids or caustic liquids, chemical gases or vapors, or potentially injurious light radiation. It is the general-industry counterpart to construction's 1926.102 and is enforced together with the PPE hazard-assessment duty in 1910.132.
The correct device is driven by the specific hazard: impact hazards call for safety glasses with side shields; chemical splash calls for indirectly-vented chemical goggles; and radiant-energy work such as welding calls for a helmet or goggles with the proper filter-lens shade. Eye and face protection must fit, must not restrict vision or movement more than necessary, and, for workers who wear prescription lenses, must either incorporate the prescription or fit over the personal glasses without disturbing them.
All protectors must meet the American National Standards Institute standard ANSI Z87.1 (the current or an equivalent earlier edition OSHA recognizes) and be marked accordingly. Because 1910.133 sits under Subpart I, the employer must generally pay for the protection, with limited exceptions, and the hazard assessment that determines what is needed comes from 1910.132(d).