It's not Jelly Bean yet. Well, I mean it is. It's the older Jelly Bean. Not the newer Jelly Bean. I'm sure this isn't confusing. However, Verizon is getting ready to roll out an update to the Galaxy S III that will bump the phone from 4.1.1 to 4.1.2. Unfortunately this isn't the 4.2 upgrade most users were likely hoping for. Among the listed improvements are a better keyboard and the ability to take pictures while on a call.
Additionally, the update will bring a few minor tweaks such as adding a refresh button to the lock screen stock ticker (try saying that three times fast), better email syncing and improved Bluetooth performance. Oh and I hope you like bloatware, because now VZ Navigator and Amazon are "stub applications." Woo.
There's no word yet on whether this also included the Premium Suite that brings multi-window support (among other features), but given that the documents don't specifically mention it, we wouldn't suggest getting your hopes up.