Yep, it should be super easy. I'd suggest using Ubuntu or Mint to start with, as a new user.
It's worth googling the model of the laptop to make sure there are no driver quirks - sometimes, although more rarely nowadays, some have issues usually with the WiFi or Bluetooth cards, or the touchpad. It's pretty rare on more modern OSs, but it's always frustrating to find out that you've installed something which is a pain to use because your WiFi won't work!
Otherwise, just download the USB image, boot your laptop from the USB, and you're off. Ubuntu and Mint both give you the chance to try running the distro from the USB before installing on the hard drive as well (although obviously as it's running from the USB it'll be pretty slow!)