You have waited too long, sorry.
All earlier versions of Photos (from OS X 10.10.3 to macOS 12) could open iPhoto Libraries and create a new Photos Library from the iPhoto Library. The new Photos Library would have been very similar to your iPhoto Library - with all albums and folders, and the events saved as albums. Your current version of Photos ist the first version, where this is no longer possible.
In Photos 8 on macOS 13 Ventura, all we can do is to copy the iPhoto Library to the new Mac, perhaps on an external drive, then launch Photos and then import the photos from the iPhoto Library to the Photos Library.
In Photos 8 on your new Mac use the command "File > Import", then select the iPhoto Library and wait, until you are seeing a long list of new photos, that need importing and select them for import.
This will save your photos and videos, but not the structure of your library.
Alternately, you could open your iPhoto Library in iPhoto on the old Mac, then open each event and export the photos to folders named like the events. Then import these folders in Photos on your new Mac.