To unlock the Project Management achievement in The Division 2, you will need to complete a project at both the Theater and Campus settlements.
You will gain access to projects once you upgrade a settlement. This is done automatically after you have completed enough main and side missions for a settlement. Once upgraded, you can access the projects by visiting Projects Vendor found in the locations below:
Theater: Located on the rooftop
Campus: Located near the sick bay
The projects will vary from donating crafting materials to completing random world events. Once completed, return to the Projects Vendor to complete.