I could not find your exact model number on the US Toshiba site, but an S4055. It seems to have an Intel Wireless adapter and the link to the driver page is below.
Link Removed due to 404 Error
If you have wired internet access, Windows might find a driver through Windows Update, but it might take some time. You could try installing the driver yourself by searching for it using the add a device dialog. Downloading the driver referenced, or one for your exact model number will probably work.
If you want to check for sure, there are some utilities that will check your devices and give a description, or you may be able to open the panel covering the adapter, if it is set up that way, and find the model.
I don't know about...