As other had said: the only 'deal breaker' here is FPU.

Q1 is playable but not on any modern understanding of that word on a system with Am486DX4/100 with 16MB RAM and S3 Trio64V+. You can disable sound effects for a couple FPS more.

Mostly you would be fine because the level design in Q1 heavily tends to the closed spaces and corridors with only a glimpses of the outside and a rare halls and caverns. That being said the Necropolis would be a test of strategic thinking for turn-based FPS and Ziggurat Vertigo is unplayable.