Project groups are a way to group projects. Projects groups are shared in a company, but administrators can restrict access of a project group to specified users (none, read or read/write rights).
If you have been granted access to some project groups, you will be able to navigate through them by clicking on the currently selected project group (on the right of your company name) in the upper left corner.
A dropdown will appear with the list of available project groups. Just click on the one you want to display.
The list of projects will automatically switch to the new project group.

Then open a project by simply clicking on it.