From your original post, your wireless gateway software setup is asking for either an ethernet or USB connection - it would be unusual, unless your vaio is extremely old, for it not to have these. Please check the manual/spec. If really not available the only solution I can think of is to either (preferably) use another computer which has one of these, I would use ethernet, or a PCMCIA card or more recent Cardbus card, whichever is applicable to your Vaio, but not cheap for a one off, to provide the connection.
MikeD