Hi
@Soloontop
If you turn vsync off, what are your FPS ingame now? Your FPS cap is limited to your vsync not your monitors hz. (Among other settings, such as having free/g.sync enabled but basically this) With a powerful enough system, a 60hz monitor with vsync off could display 144fps. (You'd prob. get a lot of screen tear, hense vsync) So just getting a monitor that has a native hz of 144, won't "give" you higher FPS. If you have vsync enabled, it'll cap your FPS to your monitors current hz. So say you have your monitor set to 1080p @ 75hz, in-game, you'd only get up to 75 FPS. Same for other resolutions & hz.
"Is it good enough" entirely depends on the game you're wanting to play and the visual settings you have enabled. Some games can be on ultra low and every single bit of eye candy disabled and if the GPU, in your case, your 1030, isn't powerful enough, it'll not be able to push 60 FPS, much less 144. What games do you want/are trying to play?
Do you have any intention to upgrade? Whats the rest of your system look like? Namely how much RAM and it's speed, your 8350 is DDR3, and what type of PSU does your system have? If upgrading your system isn't possible right now, you may want to think about at least a better GPU (depending on your PSU and if it's powerful enough) and if you have 8GB of DDR3, especially if it's mixed speed & sized, on getting a matching kit for 16GB.
Really depends on what you want. More info please.