For your budget, this would be a great
starter build. I used to have the 860k & it performs very well. Until you can afford an i5 or better, I would go with AMD & enjoy gaming. Save up more money over the course of a year or so, and you'll have an easy MoBo & CPU upgrade to Intel one day.
You'll be able to play all the games you want (although newer titles you'll have to lower your graphics settings). This CPU is very strong at its price point & the GPU is also strong for gaming on medium - high settings (ultra for less intensive games such as CS:GO & League of Legends).
Start with this & welcome to PC gaming
PCPartPicker part list /
Price breakdown by merchant
CPU: AMD Athlon X4 860K 3.7GHz...