Harrisburg is right down the road as well as Hershey. If you like beer I recommend checking out the Troegs Brewery. While I am not a fan of FIG, it's much better than Ft Pickett.
They have WiFi now that must be purchased, but I am unaware of it's quality. When I have to get work done after training hours during drill or AT, I head to the McDonalds/Loves Truck stop for the free WiFi.
The Indiantown Gap National Cemetery is worth a look and it's right off post. If you have the free time Gettysburg is a little over an hour away.
The PX will get you the little stuff you need but it's nothing like the main post one at Ft Benning. More of a shopette. There is a Walmart 20 minutes down the road and near it are a Texas Road House, Sonic, Arby's and I'm sure some other places.
For a good home style meal, check out Farmer's Wife.
There are worse places to be for 10 weeks, that is for sure. I hope you have save travels.