|If you simply connect your Mac to you lan (network) via a cat-5/ethernet cable, your Mac will automatically be on the network; and produce all that info. within the Network utilities app.|
By default Mac systems do not set themselves to a manual dhcp configuration; they take/use whatever the router assigns (as does a windows/ linux computer likewise).
To use wifi you will need to know the router's SSID and its password (presuming you are using a password to control access to your wifi side of the lan).
That wifi info will be found in the Management section of your router - via its web-page.
As ijack advises, you logon to that page usingthe ip address for it which is given in the manual.
What make and model is your router.