Public servants have a job, outside of their job, they are just regular citizens with the same rights and duties as everyone else.

So, monitoring them of the job, sure, but they have the right for a private life. Or not, depending on the law...

It is a bit more complicated for high ranking official, where immunities and classified information come into play, and they don't really have 9-to-5 jobs. But for lower ranking public servants, like police officers, magistrates, mayors, etc... that would apply.