So this achievement is for making one upgrade in each branch of the skill tree. What it means by branch is each square, so Hacking Stealth is one branch, Icarus Dash is another. Here is what my Aug menu looked like when I unlocked the achievement:
You can get this achievement on your initial playthrough, but I would advise waiting until New Game + as there are some augs that are more important than others that you should fully upgrade first.
Just as a note, on New Game + the Typhoon Aug will show up as green after seeing Koller for the first time, so double check that Aug to make sure that you do actually have it.