It depends on the goal in life of this person
Reference : Phil Connors in Groundhog Day
Phil is everything you describe except he can't travel through space (you know, because of the blizzard) and time (he relives the same day over and over again). When he suicides he just wakes up in the morning. So OK for immortality.
Phil is stuck in Punxsutawney in U.S.A. so he has access to all T.V. channels in 1993 (documentary,...) and apparently a lot of people in this town are specialized. So OK for massive resources and let's handwave he has access to modern day Internet, or at least a library in town.
At the end of the movie, we can see he masters a LOT of techniques :
- car reparation
- stunt drive
- ice sculpture
- culture through Jeopardy!
According to some studies, he might have been stuck 34 years to master all this. Getting back to the goal in life, he is doing all this to seduce Rita, and of course it pays and ends the loop.
So Phil's goal is seduction, but other persons could have other motives :
- science knowledge as other answers suggest
- philosophy and religious matters
- death provocation (stunts, glutony,...)
Laziness shouldn't be a motive since after a few years, you might say "hey I have to do something" and go through the list above.
So you could have some levels of boredom, but there would be always something to do, even when time-stuck.