Is there a way to see the radar info ATC has?
If you are in or around NYC, flightradar24 will give you most, but not all, traffic including helos and ATC radar traffic. 

flightradar24 most likely has several ADS-B receivers in that area that not only catch aircraft transponder/UAT output, but they also catch FAA ADS-B ground station broadcasts. The ground station will broadcast any known traffic (mode C radar traffic included) that ATC is aware of to any client aircraft that are in the area that have their ADS-B output configured to inform the ground station that they are capable of displaying traffic data. Most private GA aircraft with ADS-B are configured this way because there are iPad apps that will display it while airborne. The ground station will broadcast that traffic and a local flightradar24 receiver gets it too and up it goes on the website. The data may be limited to just aircraft in the vicinity of the client aircraft but in an area like NYC, there are typically many GA aircraft (clients) out there at any time that are configured as ADS-B in capable.