I'm sure you've heard this before, but "it depends." In many cities and states, the government is the largest employer - whether it's hiring teachers (who often work for the city or county), health care professionals (that might work for Veterans Affairs) or Cyber Security professionals (at all levels of government.) If you want to look for a job in government, what you might want to do, is to consider what you like to do, and what feeds your passion - and find out if there are jobs in the government around that area. I'm a technology geek and an elected official, and I enjoy the connection between technology and public good.
You can see what kind of jobs are out there by going to: https://www.governmentjobs.com
Hope that helps!