DD will be 5 weeks old tomorrow, is awake and alert around 8 hours a day in total (yes, a LOT, but she's a wonderful sleeper and cries maybe a total of 15 minutes in 24 hours, on a bad day. Textbook "easy baby.")
I would guess that she could spend nearly the whole time gazing at toys, faces, the dog, invisible tiny airplanes that only she can see, playing with her hands, etc, though I've not yet put that to the test! Pretty much, she's happy doing whatever, wherever, whenever.
The only time she gets demanding and really fusses for interaction is after her night feeding/changing. She does not seem to enjoy quietly appreciating the darkness, but too bad for her, 4am is not playtime. She doesn't cry, but moves around and "talks" for ages, which, while preferable to crying, doesn't so much facilitate maternal sleepage.
She is a very strange, but very delightful baby. Hopefully this continues!