Very luck-based, but there are some modifiers that can help. Cranking up mob count through "Jury Summons" in your Pact of Torment before your run would help build up your God Gauge. Zeus also has a boon named "Clouded Judgement" that boosts your God Gauge generation from dealing and receiving damage. [Edit: Poseidon also has the boon "Boiling Point" that increases God Gauge gain from taking damage]
The easiest (but still heavily luck-based) way to get this achievement is by banking on a trial spawning in Elysium, then abusing the respawn mechanic of Elysium's soldiers to grind out gauge. I got the achievement by sacrificing a large amount of HP & a couple Death's Defiance charges to generate God Gauge from taking damage, did it in Tartarus.