No you probably won't bottleneck that gpu, it's a native quad core with about average performance comparable with a 2 year old i5, you could probably go with anything up to a 1070 and not notice a bottleneck at all. What will bottleneck your system is games that require more cpu power and there aren't a whole lot that do. More gpu power (read newer generation gpus) is always a good thing if your system can handle it.
I would consider an 8 core cpu as a future upgrade as I think it's the same socket, the 8310 is a 95 watt cpu and a great upgrade from the fx 4 core.