The library's computers all have Zotero installed on them, but you'll need to take a couple of steps before using it:
Make sure to back up your work to your Zotero account or flash drive -- any work you do on GSU's computers will be erased when you log out.
To use Zotero, you'll need to install two things:
Both of these are available from the Zotero download page.
Download and install Zotero from the Zotero website.
(There's a different version for each operating system: Windows, Mac or Linux.)
Connectors allow your web browser to save citations to your Zotero library.
The Zotero downloads page should automatically detect what browser you're using and give you a link.
Each browser has its own version of the Zotero connector, so if you use Chrome, Edge, Firefox and Safari you'll need to install all four.