You can check your internet speed using http://www.speedtest.net/ to see what you're getting to and from your network. Another one is https://speedof.me/ which is generally considered to be more accurate (and takes longer to run) because it tests varying file sizes for download and upload and is more representative of what you're actually doing with your internet. Many big Internet Service Providers (ISPs) use speedtest because it's paints a more favorable picture of their service. Speedtest.net has improved and is more accurate than it used to be. In no case should you need to download or install anything to do a speed test. Do not install the desktop version if offered. Do not click on any of the adds, or any buttons to "improve" or "fix" your computer or internet speed. Only click the "Go" button for speedtest or the "Start Test..." button on speedof.me. Again - you do not have to install anything, sign up for anything or login to use these tests.
Ping: The lower the number the better. Ping is how long it takes to send and receive a response. Ping matters more for gaming or other applications requiring instant feedback from input. High pings (greater than 100 ms) usually represent as slow or laggy feel to your input or responses on a remote system or game. I doubt you would notice any difference as long as the ping is below 100. Ping below 50ms is good and Pings in the single digits or teens is excellent even for heavy video gaming use.
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