Unsecured network connection

Hello,

I have a Linksys wireless broadband router. I have 2 desktop computer's one in the livingroom and one in the bedroom. Everytime you try to get onto the interet on the one in the bedroon you have to connect to a network. When I try connect to a network two networks come up . My network and another persons. Mine network says Unsecured and his says Secured. How do I get my network to be Secured.