OK, these tests were conducted on a TM-D710 (non-G), but I have no reason to think that it wouldn't work on a TM-D710G, or a TM-V71, for that matter.
There is a female 6-pin mini-DIN jack on the back of the radio body (not the control head) labeled DATA. This jack is for use with an external TNC or an EchoLink controller. Pin 6 on this connector is labeled SQC which is a squelch control signal from the radio (used in some TNC applications). The default mode is for SQC to go high, relative to ground (Pin 2), when the squelch is open and to go low when squelch is closed. Menu 921 (520 on a TM-D710 or TM-V71) reverses that action.
The only issue with this is that the squelch signal only works for the band (side of the radio) configured as the "data band". The data band is selected in menu 930 on the TM-D710G (menu 517 on TM-D710 or TM-V71). The little "D" above the frequency display indicates which band is the "data band".
So, with all of this set up on my TM-D710, I found that when the squelch is closed (no audio being passed), I measure 0 volts between pins 6 and 2. When the squelch is open (audio being passed), I measure approximately 4.8 volts between pins 6 and 2. The manuals don't say anything about how much current you can pull through pin 6. There is probably not enough current available to drive an LED directly, but maybe enough to drive the base of a switching transistor.