Hoboken is a great city to visit, and it's just a short train or bus ride from the city (ten to fifteen minutes) using either the NJ Transit bus line or The Path train line across the river. Not only does Hoboken have breathtaking views of the New York City skyline as it reflects on the Hudson River, it is also loaded with boutiques, coffee stores, bars, and AMAZING brunch spots.
Elysian Cafe and Stacks are two great places to enjoy your Saturday morning, but I also highly recommend CIty Bistro because it serves $3 Mimosas, Bellinis, Bloody Marys, and Screwdrivers. The food is also top notch. So whether you want to have a "Boozy Brunch" or to simply enjoy a cocktail as you begin your weekend, City Bistro is an excellent spot.
All you have to do in Hoboken is walk around a block and you will find a great spot to enjoy a morning, afternoon, or evening. But if you want to focus mainly on staying in NYC, consider taking a break from the commotion for a morning to taste a different but amazing urban scene.