B.,
She's only been in the world for 3 months! LOL A 3-month old's favorite "toys" are usually their own hands. She's just starting to really know and understand the world around her; definitely no way she's bored
Up to when my daughter was about 8, she never used the word, "bored": she was always able to find things to do; she could come into my office and make things from paper clips, rubber bands, and tissues and play for an hour before getting into the crayons and paper for another hour. But at about age 8, she had a friend over and they came out to the kitchen and said, "We're bored!" (I thought to myself, "Aliens have taken my child!") So we sat down with a piece of paper and I guided them in brainstorming; we made two loooooong lists, "what can we do indoors" and "what can we do outdoors". I posted the paper on the fridge and the word "bored" was never again uttered in my home! I haven't been bored in 35 years.
It's not a matter of "doing interesting things" but "seeing the world as an interesting place". Think of your role as guiding your daughter to see fascinating things in her environment, engage the world and interact with it in a self-educatory way.
When you listen to music, call her attention to the different sounds, instruments, rhythms, melodies (I'm thinking of classical music rather than the typically very limited and repetitive pop music, though there's a place for that, too). When you watch a video, talk with her about what the characters might be thinking, their relationships, etc. (Yes, she's only 3 months now, but your use of words and just the sound of your voice will do a lot for her. And for you, too--it'll challenge YOU to see new things in that video or piece of music again and again.) Sing and talk to her constantly, tell her stories, tell her what you're doing (and don't use baby-talk, just talk to her--you can pretend you're the host of a cooking show! This is much better than trying to talk "to her level"--"her level" is what you make of it (which is probably why my daughter's always had a spectacular vocabulary).
This is a lovely age and goes fast; enjoy its every moment.
Best of luck.
L.