Yes - the output of "lspci -v" would give information on what card you have.
You might just need to load the appropriate module.
To make the install process more easy you should probably - if you at all can do it - use the wired connection using the very probably also present ethernet-card.
I think it's really rare that a computer only has wireless - and using the wired is (just to get started) a _lot_ easier.
You do use the handbook as a reference?