Confused about NJ/MTA public transit– will this route work?

I am trying to get from Newark Liberty Airport to JFK airport via public transportation, and everything I look at has this long, crazy trip where I transfer trains 5 times and end up spending . Then, I typed it into the New Jersey transit authority website, and here’s what I got:

Itinerary from NEWARK AIRPORT N TERMINAL to JOHN F. KENNEDY INTERNATIONAL AIRPORT

Itinerary
Depart : NEWARK AIRPORT NORTH TERMINAL (07102)(On 107 NewYork – exact fare) 9:23 A.M.
Arrive : PORT AUTHORITY BUS TERM [41ST & 8TH ENT] 9:43 A.M.

Transfer

Depart : 42 ST-PORT AUTH BUS TERM(On NYC subway A (www.mta.nyc.ny.us/nyct))) 9:53 A.M.
Arrive : HOWARD BEACH-JFK AIRPORT 10:46 A.M.

This seems way too good to be true? Will this work?

and secondary question– if it will work, it looks like I have 3 or 4 hours to kill… is there anything along this route I could hop off and do/see?

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Thank you very much!! :D

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