Points of interest are the ttl and time listings. TTL is the Time To Life. When you send a packet through the Internet, it doesn't always just go where it's supposed to automatically. Much of the time, it jumps to one computer, asks for directions, jumps to another computer, asks for directions, and so forth till it find the computer it's looking for. The TTL is the number of jumps it has left till it dies.
Time is the amount of time it took to get there and back.
This is important to gamers. Low ping time rates means faster network games. At the end it sums up the information for you. It tells you how many packets it sent, how many never came back, and how long everything took. Well, if you can't ping yourself, then either your network card or drivers aren't working properly.