If you are using TurboTax Online, then you can just login to your account on the desktop computer.
If you are using TurboTax Desktop, then you'll have to copy your return file from your laptop to your desktop. Then you'll need to Install TurboTax on your desktop computer. You can download the current version of TurboTax Desktop edition here: Choose the current TurboTax Desktop edition you need (for Windows). You can download older versions of TurboTax Desktop edition here: Where can I download the Desktop edition of TurboTax?