Remember what files are opened in a session of gedit

There's also a Session Saver plugin to save and restore working sessions.

This is an old question, but it is the first result in google when searching for a plugin to re-open previously opened files. It seems that no one gave a very specific answer, though.

gedit-restore-tabs is a nice plugin that was written for G-Edit 3.12 but works in later versions. I used it in the past, but couldn't remember where I had gotten it. I found it again by going to this page on the gnome.org wiki and searching through the lists linked there.

Just hit "File" on Gedit's menu. A number of files used previously will appear in the drop-down menu numbered 1, 2, 3...

The Help menu states: "The application records the paths and filenames of the five most recent files that you edited and displays the files as menu items on the File menu. You can also click on the {down arrow} icon on the toolbar to display the list of recent files."