How do you mean, bored?
I do know what you mean about not knowing what to do to stimulate or interest a child this age. I think it's so awkward because, at two, a child is beginning to be more of a little person with a personality, but for most of us adults, our memories don't go as far back as two, so we have memories of interacting with adults that being at a later developmental stage. You naturally think 'ooh, is my child old enough to do such-and-such that I remember mum/dad doing with me?!' and then you're a bit stumped when they're too young.
Do you cook? I am totally giving you anecdata, but I found baking was really good at this age, and if you have a safe cooker, simple cooking like getting them to stand on a chair and stir scrambled eggs or white sauce (the heat is so low it's low-risk). Or gardening is good - they can get nice and dirty and you can teach a child that age to pat in the soil around a plant, or to plant big seeds like beans? Beans are great actually, it's the right time of year and they grow fast.
When DD was two she loved thinking she was helping, too - if she's not scared of the noise she could use the hoover attachment, or mine loved wiping a counter dry after I'd sprayed it down with cleaning stuff.
I don't know if that's useful; I don't know which end of two your DD is and it makes a big difference. But, FWIW, I think these things are academic in as much as anything for a toddler is academic. They just want to be learning and if it's learning to pair socks, fine!
(FWIW DD has just turned five and, oh my goodness, I so miss the days when she would enjoy helping me with chores. These days we're into the huge tantrums and melodramatic objections!)