I'm assuming this is your home network. You should have an ethernet connection between your computer and a router, which in turn provides access to external networks (internet). There are many ways to provide an external connection (phone line, tv cable line, optical fiber, radio), DSL is probably the most common and uses the telephone line.
When you run the ipconfig command, add "/all" at the end (type ipconfig /all). Look for "DHCP Enabled" on the network interface your are using. There might be a lot of things showing up when you type "ipconfig /all", so disregard anything with a "Media disconnected" description.
DHCP is a protocol for automatically assigning IP addresses. Your router probably assigned your computer an address using DHCP. If for some reason the connection between your computer and the router is dropping, setting a static IP may speed up the recovery.
Anyways, you can set your IP to static by going into the "network and sharing center", clicking "change adapter settings", right-clicking the network adapter you are using and clicking properties. There, look for "internet protocol IPV4" and double-click it. If the boxes are greyed-out, it is set to automatic. You can set it to manual by clicking the "Use the following IP address". Preferably, use the same IP address as you had before. In subnet mask, enter "255.255.255.0". In gateway, enter the "default gateway" listed for that network interface when you typed ipconfig /all (probably something like 192.168.1.1. The default gateway address should be your router's address, as that is where all traffic should be directed by default.)
If you ever use this ethernet interface in another network, you will need to either manually set an IP adress valid for that network, or set the interface to automatic again.
You can leave DNS settings in blank or use google's public DNS servers, entering 8.8.8.8 and 4.4.4.4 as DNS servers. DNS is a protocol for translating between name adresses and IP adresses.
I've also read a bit on your issue, seems some people got it fixed by clearing SSL state, so you can give that a try, too. To do that, open internet explorer, open "internet options", go to the "content" tab and click "clear SSL state".