Ha ha. Yes. At the very basic level that does the trick.
But then … sort by date may be more difficult if “date” means the date that the photo was taken. (You may also need the capability to “fix the date” e.g. date was wrong on digital camera. You can do that with exiv2.) The OP didn’t clearly specify whether command line interface was acceptable (for some tasks) or it had to be GUI all the way.
And then … slide show probably isn’t available with just “file system and GIMP”.
Some new users could find GIMP a bit overwhelming. You can do so much in the way of the image side of photo management.
Search is also your friend:
https://forums.puri.sm/t/floss-photography-workflow-stack/6079
Newbie question: photo and backup software
One issue not touched on is publication to the web. For some users this is an important requirement, for others not at all.