You can't export it. If your library folder and your music folders are networked, MB uses those network locations rather than local C:\, D:\ etc references in the library, and those locations are accessible to the second computer, then you can open the library from the second computer and it will operate as it does on the first computer.
Using MB with a networked library has been discussed here many times and a lot of information about setting it up is available here at the forum.