In Season 1, George has trouble adjusting to her circumstances—collecting souls while holding down a day job.
By Season 2, she has mostly adjusted to her new role, with few unresolved issues with her life and her afterlife.
In the series, Death has a list of who is scheduled to die and when.
This list is delivered to the head of each group by a shadowy figure (when the delivery is made to Rube's apartment; it is shown that the delivery is made by an actual shadow, with the list of names becoming corporeal only when it is delivered).
However, this may have unintended consequences, such as other people dying because of actions taken by the person who should have died.
George dies early in the pilot episode and becomes one of the "undead", a "grim reaper".
George soon learns that a reaper's job is to remove the souls of people, preferably just before they die, and escort them until they move on into their afterlife.
The head of each group then gives each reaper a non-transferable assignment to collect a particular soul or souls.
Completing that assignment is often difficult for the reapers, who receive only the first (and sometimes middle) initial and last name of the person about to die, the location, and estimated time of death (ETD).