To have your computer perform better than a console you will need extreme good and expensive hardware. You see, the hardware in a console is dedicated to gaming so it can perform extremely well with average hardware. A PC on the other hand, has to keep track of all those other processes going on, like the very big demanding OS and all its resource consuming processes, plus your usual software.
So, in order for the PC to outperform a a console, you better get the best of the best from the hardware rack. Depending on the rest of the hardware in the PC you talk about (CPU, memory, motherboard) it could be worth to replace the GPU. But that implies the rest of the hardware should be of high quality and very fast. Only then it is worth to get a high-end GPU, because otherwise for example the CPU could bottleneck your PC's performance - leaving you with a top-notch GPU which is unable to perform at its best.