It sounds like you created a new catalog on the new computer instead of moving the original one. If you opened LR from the application icon, it probably created a brand new catalog because it doesn't know about the old one. Close lightroom. Find the LR folder that you copied from your old computer. Inside of that folder will be the catalog. It has the extension .lrcat. Double click on that to open it in LR. You should see everything as it was on your old computer.
As well as copying and opening the catalog, as stated by Theresa J, you will need to use the operating system to Copy and Paste the Presets from old computer to new computer. (copy to a usb stick)
Read this link before you do anything else-
Find you presets-
Thank you Theresa for taking the time to answer my question. Appreciate it a lot!