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Compared to a small heimeshe firm, government benefits are better. But I think most large corporation have pretty similar benefits to government with the exception of a DB pension. Most just have a matching contribution DC plan.
There are no absolute rules, but generally speaking (I'm not restricting myself to law here) the biggest benefit found in government vs private sector jobs is health insurance. Government jobs generally pay most, and sometime all, of the cost of health insurance, while private sector jobs do not. They may offer better or worse plans, and contribute some amount toward your premium, but they generally don't pay it outright.
How much value you get out of that benefit will certainly vary based on the 2 specific jobs you're comparing.