No they cannot see it unless they were to install some type of program on your computer that will track your activity.
Believe me, you have nothing to worry about. The only people that would actually be able to see the sites you've visited is the ISP, and they're not aloud to share the information with their customers.
There would be no way for them to know. However, if you're downloading illegal stuff (songs or movies) then that person can get in trouble if they back trace. That's why it's important for people to secure their routers.