Tim and I were taking the girls downtown (no not to sell them) and I spotted a large billboard that included the Prime Minister's photo on it, and a phone number. I jokingly asked Tim if I could just call that number and the PM would answer. She told me that the sign actually was encouraging people to call the number if they saw any inappropriate material on the Internet.
While there is a chance that they might take some pornographic material off the Internet, it seems like the big target is usually speech allegedly offensive to the monarchy. I say "allegedly", because the papers cannot print the "offensive" speech. A few months back, the Thai authorities arrested someone who ran some forums for leaving posts deemed offensive on their boards for too long.