The only things i recommend to upgrade in your system, are:
The RAM, to 16GB
Put an SSD in your PC too, and put GTA on the SSD.
That will increase your loadingspeed. Since i've done that in my old system, (i had the i5-4460) GTA ran absolutly fine, with LSPDFR, and a lot of scripts, and a bunch of modded cars.
There is only one problem, your upgradeidea won't work. Your CPU-Socket, is "LGA1150". for this socket, there are only 4cores CPU available. If you wan't to upgrade, your CPU, you have to pic an other socket, and with these, you need an other mainboard.
But if you don't change the CPU, you shoud be, as i said, with a little more RAM, and an SSD, absolutly fine. For the SSD-part, i can recommend the 860 evo with 500GB from Samsung.