You will not find a Forest River manual for your rig. Individual appliance manuals are on line. If you need an owners manual for the chassis (F53 motorhome chassis) here's the link. Select year (2011) make (Ford) model (F-53 Motor Home chassis) and owners manual printing. Of course this forum is available with assistance with issues if needed.
Welcome to the forum from Missouri and congratulation on getting the 2011 Georgetown 350TS.
Since it is new to you check the roof for leaks. Even new Rv's get roof leaks. Easier to stop the leaks then fix the damage the leaks cause. Eternabond tape is great for sealing seams or fixing leaks.
Get a binder to keep the information you get about your motorhome. Some keep their information on a disc.
Happy camping to you and have safe travels.