Super Batman said:
An A6 5600K for example is more than enough for surfing the internet and streaming video. Even games like Minecraft shouldnt be a problem at 1080P
Good answer, but for future reference it is A8 5600K.
Your internet speed is determined by 4 factors, the speed of the service that you are getting from your ISP, the speed of any wireless network devices (routers, wireless adapters, extenders), network interface that you have (wireless AC, N, B, G, Wired Gigabit or not ), and the bandwidth available to the web page you are visiting.