Ensure that your Wi-Fi is turned off while testing the Ethernet connection to confirm the adapter is the primary source of internet.
The RS1081B is likely a generic adapter housing. If you plug it in and it works, you don't need to download anything. If it doesn't, checking the Hardware ID in Device Manager is the safest way to find the correct file without installing bloatware. rs1081b usb ethernet driver download
Linux (kernel-integrated or module)