This is a hanko. It’s basically an ink stamp with your name carved into it. Each one is personalized. Mine has my name written out in Japanese.
It’s kind of cool, and not expensive at all. The case has a small little red ink pad. Red is the color always used.
The hanko is basically the same as your signature. In Japan they don’t use signatures, just these little red stamps. I won’t post a picture of the actual stamp, since that would be like putting my signature up on the internet.