How could I oversee remotely a Linux computer with my MacBook Pro using SSH?

I equipped Linux Mint on every computer that my coworkers have for all those times that I would like to jab them in the kisser, but I need to supervise their computers for when my boss yells and needs to understand how to get specific files in certain folders. I need to use OS X, but don't require a glossy GUI application. What's the best process to acquire access to those computers located in New York from Califoia?