Frames per second _ How many unique images the GPU can draw per second
Refresh Rate _ How many times the image changes per second on screen. the refresh is the most images the screen can draw per second
Ideally you would want these to be as close to in sync as possible. if you have 250 images per second to choose from and can only choose 60 which do you choose? this is the monitor problem. it is being flooded with more data than it can use. you could try to cap the FPS to the refresh, tell games to only draw 60FPS instead of the 250 CS:go (example) gives you. every image will have its place.
not every game will let you cap the FPS.
G-sync and Freesync are the card makers way of implementing this but your monitor will need to be...