To get more information, use the commands above to get to your prompt (the 'DOS' window). Now type ipconfig /all and hit enter. This will return more information. (See pictures below).
The Gateway
The gateway IP address is normally your router or firewall. When you use your computer to travel to the internet, your computer goes to the 'gate' to travel outside of your network to its destination. Your private IP address of your computer is changed to the public IP address of the router so that it can travel outside of your network. Example: When you type http://www.brighthub.com into your browser, your browser tells your network card to travel to its destination (brighthub). The request you made goes to the gateway to begin its destination.
DNS Numbers
Your computer must 'know' how to take your request and route it to the appropriate computer. When you type the request of a website in your browser, the request travels out your network card to your router (gateway) and travels to DNS servers. These servers (the IP address you see in the last command you made) take the friendly name you typed in your browser (http://www.brighthub.com) and changes it to an IP address. This allows IP to route to its destination and returns information (the website) to you.
The next part in this series will cover the breakdown into networks and host.
Note: This article covers IPv4. Although IPv6 is out, most networks are behind a firewall or other device and use IPv4.