If you're running just a basic weather station then there aren't really too much daily activities. These kinds of stations are run mostly remotely with periodical maintenance and checks of course. However, if there is more advanced atmospheric research going on, then sure. Especially if you have stuff like mass spectrometers running you often want to check up on the instruments daily, as the arctic is a pretty hostile environment for research instruments. Also, with stuff like mass specs the amount of data you gather can be huge, and the internet over at remote artic or Antarctica isn't great so you tend to gather the data still often manually.

And more generally what you do on a daily basis as a research in the arctic is often do through the data you have already gathered, see if you needed to make some changes to your measurement setup, run calibrations and performance checks on your instruments and prepare the gathered data to a whatever end use you might have for it.