Does not Pop trophies on load, tried on a dummy account, will mess around with it more to see if it will pop anything during a new+ play through. It does pop the story trophies like normal as you would your normal play through.
After getting to the first bench in the beginning of the game, you can obtain 4 trophies, Strapped (craft a weapon), Circuits Edge (add a circuit to a weapon), Full House (craft a weapon with 2 tools, tips, and attachments with all circuit slots filled, and Master Plan (create a blueprint that needs at least 2000 resources worth of parts and circuits to build).
Also use stasis on an enemy to get Slow Mo (kill 50 enemies while they are in stasis)
And use a quick heal to get Overpowered Healing (use quickheal to heal yourself 20 times)