A summary- but read the link below before attempting the 'move'.
You need three essential things on the new laptop-
1. Your original image files.
2. Your Catalog file (xxxxxx.LRCAT) from the 'old' laptop.
3. Lightroom installed. (If a CC subscriber- first install the Creative Cloud Desktop App, and install Lr from the App tab.)
Re: 1. Can you copy your images from the old laptop to the new laptop? Or copy them to an external drive? It is essential that the 'Copy' maintains and preserves the exact same folder hierarchy of sub-folders with photos. So if you can select a top-level folder to copy then it makes it easier to re-link the photos to the catalog when in the 'new' laptop.
Re: 2. The Catalog file is the database that has all your editing and library information stored. Do you have this?
You do NOT import anything! The catalog already contains data about your photos- they will just be in a 'new' location that you will need to re-direct Lightroom to the new folder, or external drive, address.
Re: 3. You are allowed two working installations of Lightroom, so you should have no trouble downloading and installing the same version as you had been using on the old laptop. Do you have your Registration Serial Number? (if not a CC subscriber)
A good Link to read-
https://www.lightroomqueen.com/how-move-lightroom-to-new-computer/