My answer comes in a little late, hope you still read this:
Inside the terminal, there are several W-Lan hotspots, which you can get internet access to. Appearently the Hotspot inside the Lufthansa Business Lounge is powered by D2 Vodafone, a partner of Lufthansa. Supposedly prices start at 3,95 for half an hour. (according to their website http://www.vodafone.de/wlan/31324.html
If you should need a quick walkthrough of how to configure your computer (the directions are in German only, don't know how fluent you are in that), just leave a short message, and I will be glad to help you! But I am sure, the LH
Lounge staff will be able to assist you with that as well!