Not to be unsympathetic (honestly), do you imagine that these people are living paycheck to paycheck? If they are, WHY? So far, they have missed one paycheck.
If a worker has been furloughed (not working), they are eligible to collect unemployment compensation (although they would have to repay it when they receive their back pay.)
From the NYT article (linked above):
By many measures, the last couple of decades scorched American workers. Wages crawled up, factory jobs fled to China and benefits collapsed. But those years look less painful if you worked for Uncle Sam.
Since 2000, average pay has grown twice as fast for federal employees as it has in the private sector. That’s partly because the federal work force has become more educated and specialized. It is also built into the job. Even without the salaries that top performers can command in the corporate world, government workers who do well are entitled by law to regular pay increases, an increasingly rare guarantee elsewhere.