I have a super-active kid that I adore too, and I was VERY bored during parts of her early childhood. I tried reading, which I had thought I would be able to do when she was a baby, but I got so absorbed in the novels I was reading that i didn't shift her from breast to breast right and screwed up my breastfeeding! So I switched to tv, and got so attached to certain tv shows, which became my friends, that one day when she was sick I didn't want to take her to the doctor until after my favorite show was done!! I know I sound like a lunatic, but being the mother of a young child is notoriously lonely work, especially when one is outside of any kind of community, and I totally was. As my daughter has grown, things have gotten SO much better. She herself is a lot more fun to spend time with -- even though she is still a handful, she can make me laugh now, ask interesting questions and understand the answers, and get the same kind of pleasure I do out of, for instance, watching ducks courting. And for me, being in a full-time job is a mental and emotional life-saver. I am just not cut-out to be a stay-at-home mom, and when I see other women on the list express joy over being SAHMs, I rejoice in the marvelous diversity of human beings -- because honestly, if I'd stayed home until now (my daughter is six), we'd have been in the headlines by now. One thing that amused me is my husband always talked about it being ideal to have a parent stay at home with our baby before we had one, and as my career allowed for me to take some time off, I stayed home for the first nine months, coming quietly unglued. And I do not mean, by the way, that i didn't love my daughter with every atom of my being. I loved her and love her now so much it hurts. When I am away from her for more than a few hours, I physically yearn to get back to her. So none of this is about love or caring, but about how one can stand to spend one's days. It may also have to do with my being 40 when I got pregnant and already having worked for well over a decade in a career I love and that is very stimulating and satisfying to me. Anyway, I stayed with the baby because I could, but once my husband, who had been so gung ho about maximizing childcare with a parent in the home, and had even talked about home schooling, became self-employed, I was amused to see how EXTREMELY averse he was to any talk of childcare in the home or certainly home schooling! It was rather comical to me, how easy it was for him to paint this idyllic picture of a child having all the benefit of always being with one or the other parent and secure in their own home as long as the OTHER parent was the one who was supposed to supply all of this detailed attention!!! (and be criticized for all the ways the results were not to his liking!) Anyway, for me, childcare is the key to a happy home life -- I read studies or just editorials sometimes claiming children do best when they are cared for at home, but I just can't see how it would be true in my case, where lack of intellectual and social stimulatiion rapidly led to ugly fights with my husband, anxiety, depression, and the decision that spanking was okay if I couldn't get my daughter to behave in any other way, a decision that was a complete break with my fundamental child-rearing beliefs and the product of my lack of parenting skills -- skills that, as long as I was home with my daughter without a break, were actually deteriorating rather than improving.
Once I got back to work and shared childcare more equally with my partner, my childcare skills improved, the depression dissipated, and my time with my daughter became what it should be -- a mixture of fun and joy and hard work and self-discipline. When I was "on call" around the clock, I still had periods of fun and joy with my little one, but I just didn't have the inner resources to be self-disciplined or to really exert myself in the ways that childcare requires -- the mental picture I have of my inner, emotional position was of someone crouched in a corner with her arms over her head in an effort to just fend off the next blow. I became quite dysfunctional.
Anyway, I think boredom is normal, and, sadly, so are more severe psychological problems. For me, getting any and all support was both necessary and, over time, extremely helpful. That meant not only getting back to work so I had some space away from my family and didn't feel oppressed, but also therapy, lunches out with friends, exercise (I did find that swimming WITH my daughter was the one activity that was just as good for me with her as on my own -- that became a really important part of both my and her weekly regimine), dates with my husband and weekly lunches out to see how we were both feeling about the division of labor and our daughter's overall condition.
Sorry if this is more than you ever wanted to know -- when I started to write about boredom, I realized unexpectedly how much more severe than boredom my mental state was during the first year or so. I certainly hope that for you, it's just a question of some boredom that can be resolved with some extra lunches with friends!
All best wishes!