at this young age... it is not necessary that you have to play/entertain them... for a baby... just them doing their thing, is a BIG learning experience for them. They keep active themselves. Her "boredom" as it seems, may just be that the baby does not know what to do next... or they are overstimulated as well. A baby needs also times where they are just hanging out... and they need to learn how to play by themselves too... to learn self-direction. On the flip side- always entertaining a baby/child... will sometimes give them the in-ability to think of things themselves, too. And then they will not rely on themselves.
"Let" her explore. THAT is how a baby learns, THAT is playing and how a baby gains skills, too.
She is doing fine. A Mom does not have to entertain every minute of a baby's wake time. It is not being a "bad" Mommy to allow a baby time to self-explore. Sometimes "hovering" is not good either... because a baby will need to learn self-assurance as well.
At this age or any age... just playing with things in the home, is a lot and good for a child. Go by her cues... and as you see, she is exploring a lot. That is good. THIS is what babies do. YOu are doing fine.
All the best,
Susan