I think you are using wireless Internet connection, for sure you must have a modem for this Internet connection. So you can actually connect toshiba labtop to modem using a network cable without router to access Internet.
To learn more about home networking, check out this link:
Home Network, Wireless Network and Computer Networking Made Easy
http://www.home-network-help.com
Hope helps..
picoHat
April 2007
I think that you need to give much more information to get an answer.