What it does is offer to perform a certain command previously activated. For example, if you turn lights on at around 6 AM, it may suggest the same thing the following day. You can execute the command by simply clicking on the notification. You can set to do it right away or show ‘Don’t suggest this’ instead.
We don’t know what other Google Assistant commands can be suggested or followed. One of its advantages we see could be saving time for those that utilize it regularly.