Every one who is on orange and tmobile will see ee on there phones within the next few weeks. iPhone users got it early because of the iOS update. It's nothing to worry about its just the two networks combined.
This is not the EE LTE network, but the combination of the old 2G/3G networks of T-Mobile and Orange after their merger.
The 4G EE network will be launching between now and December, and will entail a price plan change, possibly a new contract and probably a new SIM card.