How does FPS relate to HZ on a monitor

Solution
It is best to have a 1:1 relationship between GPU rendered FPS and monitor refresh rate. This will give you the smoothest experience with minimal tearing or stuttering. This is also why G-Sync and FreeSync exist. At times when your GPU can't push a high FPS to match your high refresh rate, this throttles down the monitor to match the GPU to keep things as smooth as possible.
It is best to have a 1:1 relationship between GPU rendered FPS and monitor refresh rate. This will give you the smoothest experience with minimal tearing or stuttering. This is also why G-Sync and FreeSync exist. At times when your GPU can't push a high FPS to match your high refresh rate, this throttles down the monitor to match the GPU to keep things as smooth as possible.
 
Solution
So they are similar but difference. So Hertz is explained by how many times the screen refreshes. So if you have 60 hz, then the maximum your eye will recognize is 60 FPS, even if your game is pushing 80-100. Hopefully that makes sense. With the 1060, most games on high settings in 1080p will push 60-70 FPS which should suit a 60Hz monitor.

Someone will probably correct me with some more jargon.
 
All above is true. How this affects you?

Say your GPU is only pushing 29 Frames Per Second in a game but your monitor is 60Hz; The game will feel laggy and appear to skip. Some people will turn on VSync which forces duplicate frames(un-refeshed frames that just get flashed on screen again). This has an effect of making the game appear a little smoother visually but has a major drawback of creating input lag... where it feels like your mousing and keystrokes appear to be delayed. The game has received the input but it visually has not been rendered because of the delay of re-showing an un-refreshed Frame.

Adaptive sync technologies like FreeSync and G-Sync will instead slow the monitor refresh to match the GPU's FPS to eliminate un-refreshed Frames and therefore eliminate Sync'd input lag.