Yes, arcade games require arcade monitors.
You'll only be able to run a JAMMA board in your home built cabinet if you built your cabinet as a JAMMA cabinet, then installed a PC in there using something like a J-PAC. Would require a standard resolution arcade monitor, proper arcade power supply and JAMMA spec'd wiring harness, first and foremost.
Short answer: if you built the cabinet yourself and you're having to ask this question, you can't run a JAMMA board in your cabinet.