There's lot's worth seeing. It really depends on what interests her. If she likes city life-
NYC (1 hr), Phili (1.5 hrs), maybe a 3-4 hr drive to see Washington DC?
Gambling and casinos/shows- Atlantic City (1-1.5 hrs south).
Skiing and mountains- (2-2.5 hrs) Poccono Mts. in Pennsylvania. There's some skiing in NJ, but I would rather drive another 1/2 hr to ski in PA.
Football games- NY Giants and NY Jets play in NJ at the Meadowlands.
There's horse racing and other things as well.
Most of the NJ shore is very quiet this time of year. It's not bad to just drive along the coast to see the shore and the beach houses. But this time of year, I would probably tell her to take a day trip to NYC and see a show, shop, check out the Tree at Rockefeller Center... Or if she only wants a short trip she could take a fifteen minute drive to Redbank, NJ. There's a little bit of shopping and shows there too. (Nice pubs too)
She could also hit most of these spots from the train that stops right in Long Branch.
Is this her first trip to the NJ/NY area? How long of a stay will she have?