It means they can not be sued (except under specific conditions that amount to waivers). As a legal principle, this is extended from British common law and is called rex non potest peccare which means,. the king can do no wrong. read more
Perhaps, say, if some employee of Congress itself caused a car wreck while on Congressional activity, by the employee's negligence, and someone was injured, perhaps Congress could be sued for the damages, under respondent superior, like any other employer. read more
the king can do no wrong. That said, however, individual members of congress can be sued for their actions as individuals while in office. But the entire government or branch of government can not. read more
Congress can be sued. In fact, Congress has been named as adefendant in many cases. In 2009, someone sued Congress becausethey felt Obama was not born in the US. read more