Having successfully completed a session of doing whatever you wanted on the internet.
Present tense is "interwebbing", the act of currently being online and fulfilling your online needs.
Derived from "interwebs", which may have came from "interweb", as well as "internets", which was obviously from "internet".
After having checked my email/myspace/rvb/facebook/news/<insert other regular online activity here>, I felt well-interwebbed as I quit <insert browser name here>.
I interwebbed for 3 hours today. It was fun.