No they would face the winner of the 3-6 match up, which is either Indiana and Atlanta, most likely Indiana. They would have home court in that series also, so games 1,2 will be in New York for sure, 5 and 7 also if they are needed.
Indiana will probably get through Atlanta in 4 or 5 games. So the second round series will start probably a week or 2 from now.
Indiana and New York will be a good series, no telling who will get through that one, but I think New York will be bursting with confidence after beating Boston so they have a good chance.
Whether or not you can get tickets for less than a gazillion bucks, that's a whole different can of worms.