Any experience with spokes breaking on new Trek 720 touring bike
To close this out and give an answer specific to this model of bike; no this is not a usual amount of spoke breakage, Trek have issued a safety recall notice for this wheelset based on the rate of spoke breakage and the risk of the broken spoke then getting caught in the brake caliper which could then cause a serious accident.
Trek issue this warning:

DO NOT RIDE YOUR BICYCLE UNTIL THE WHEEL HAS BEEN INSPECTED
If you break a spoke, it could engage the brake caliper and you could be
involved in a serious accident. Do not ride this bicycle until your
dealer has inspected the bicycle to determine if it is affected by
this recall.

All the details can be found here:
Trek Safety Recall Notice for Bontrager Approved TLR Disc 700C 24H Front and Rear Wheels