From the 276 manual
Page 88
How Can Garmin Help You with DSC?
To receive distress calls or position reports, you must have a DSCequipped
chartplotter as well as a VHF radio with DSC support.
During normal, non-emergency position report communication,
Channel 70 (156.525 MHz) has been set aside as the VHF/DSC
digital call channel.
For a distress call, press the MayDay button on the VHF radio. The
call transmits on an emergency channel with the MMSI number
attached to the call, if the receiver has DSC support. Any DSCequipped
mariner (on sea or land) within range can receive the call.
When the GPSMAP 276C is connected to a VHF with DSC support,
the GPS unit shows a call list, log, and a directory. Basic wiring
is required for the Garmin unit and VHF radio to send and receive
NMEA data from each other.
So, you want to connect the blue and black wires to the back of your radio (see also the attached diagram). I also attached the diagram from the SH 2150 manual. Pages 15-20 in the SH 2150 manual explain it and in the Garmin manual pages 88, 103 and 104.
All that being said, my experience with the newer Garmins has been less than stellar and for me I would not have one.