The wait for the iPad 2 jailbreak is finally over as folks at jailbreak me have churned out jailbreak for the second generation Apple tablet. This jailbreak makes use of the PDF exploit of Safari web browser and is untethered in nature, meaning that there is no jailbreaking again after rebooting the iPad.
It is not complex at all. All you have to do is visit jailbreakme.com on your Safari browser on your iPad and then click Free > Install and let it do the rest of the job. For screenshots, read this more comprehensive iPad 2 4.3.3 jailbreak guide.