Yay newbie, everyone should come to New York!
There is so much great stuff to do in nyc
Some fun stuff:
If you like art of course the met (82nd street and 5th) but remember its closed on mondays
grand central train terminal is really quintessential nyc and beautiful. besides the awesome main space, there are plenty of stores and eateries on the lower level (it has gotten soo much better since the early 90's). it is a great public space with nyc energy
century 21 the greatest dept store ever is always stocked with great deals on designer (and not designer) clothes, household/electronic stuff, and shoes shoes shoes. it has reopened after 9/11. it is at cortlandt and day street, to get their by train take the a or c to chambers street (its a bargain hunters dream)
http://century21ny.citysearch.com/1.html
if you go shopping at bloomies try eating at serendipity 3, it has great food and amazing desserts (like frozen hot chocolate). its around the corner from bloomingdales on 60th street between 2nd and 3rd aves.
china town is a very fun bustling place but can be intimidating and also has some juncky cheap stuff. canal and mott streets are good places to explore around
for good fairly authentic food go to sweet n tart: the main resturant is at 20 mott street and at 76 mott street there is a smaller cafe branch (mott between bayard and canal). they have yummy dim sum and also great milk tea with sago (bubble tea is tea, milk, and tapioca balls)
for all kinds of fun chinese imports go to pearl river mart (277 canal, at canal and broadway)
you may not have time but if you want to venture out to brooklyn got to astroland amusement park, coney island. it has the cyclone, a famous wooden roller coster, carousel, ferris wheel, arcade, flea market, skating rink, fishing pier and 2 resturants. (its at surf ave and w 10th in brooklyn take the b, d, n, or f train to stillwell ave and the or the d or f to w 8th street
if you do want to go to a yankee game you can always buy tickets at the stadium the day of game to sit in the bleachers
the museum of natural history is having an amazing exhibit on baseball as america
The deal with the World Trade Center:
You can get tickets from the south street seaport mueseum ticket booth at fulton and south streets. the booth is open 11 am till 6 pm or until they run out of tickets. each person can get 2 of the tickets (they are free). you can use the tickets to stand on the viewing platform for a thirty minute period either the day you get the tickets or the following day (you choose the timeslot). The viewing platform is at church and fulton streets.
i understand that people want to see the site but just remember that although it is cleared it is still an open grave, (i have no doubt that all you greek chatters would be respectful, just its a sensitive subject)
a site full of nyc info is
www.newyork.citysearch.com
Have fun! and post how your trip went