Installing from the Ubuntu Archive with apt-get means you get the version that was released with that version of the OS, say Ubuntu 16.10, sometimes with minor updates. With Snaps you get the version that the software developer pushes to you which could be their latest stable software released just yesterday (there is a concept of Snap channels that open up things like beta/candidate/daily builds e.t.c. but that is another topic).
Snaps can also update themselves, allow dependency bundling, are confined in sandboxes e.t.c. but for a user, it means you get very fresh software on your device. You can read more about them at https://snapcraft.io/