Yes, most likely a conviction of a speeding ticket from New York will end up on your MA driving record. While Massachusetts is not part of the Drivers License Compact (which New York is a member of) they still exchange information and receive in information concerning moving violations that drivers receive out of state.
So though Massachusetts is not part of the DLC the Registry of Motor Vehicles (RMV) has arraigned to share driving records with other states and has other states share violations of their motorists out of state citations with them. The RMV has noted that they treat certain out of state violations as if they occurred in state and record them on your driving record.
To find out for certain if the MA RMV will record this NYS speeding ticket on your driving and assess surcharge points for it, you will need to contact them. If surcharge points are given it would either be 2 for this minor traffic violation or 0, if this is your first traffic offense.