You can use the link to the official CBS course listing page to view descriptions and professor biographies for each course. These listings are exhaustive of all CBS courses, but you can only take those courses available to you in the select boxes for your first and second choices on the application form (see the "Rules" on the application page for more). If the course is not listed in those boxes on the form, then you cannot register for that course through Columbia Business School.
If you have other questions about this process, check with your school's cross-registration coordinator or dean. If you have questions specifically about the workings of the website, you can contact CBS Student Affairs.