When you use your computer to go on the internet, this task cannot be accomplished without an IP address. You could try if you want, but the results will always be the same, which is, no internet ...

Is there an easy way (like via a .Net library) that allows me to get the IP address and subnet mask of the local machine that the application is running on?

If you are experiencing trouble with your network connection and have it configured to DHCP, figuring out your IP address can be quite a task. Using a Static IP Address helps avert IP address ...