Infrequent Driving: Is This A Problem For Either Battery?

I just became a 2014 Prius V owner yesterday. I am certain I have lots to learn. My previous car was a 1994 Ford Escort Wagon. Ostensibly the two have the same cargo volume.
Anyway, my first question is to what extent my infrequent driving (7500 miles per year, typically 60 miles at a time) but sometimes we don’t drive our car for a week or even three. Will this be a problem for either battery? I’m brand new so please advise. I just read a bunch of threads here that touched on battery life and driving patterns but didn’t come away feeling like I really got an answer.

Thanks!