are you sure she is not starting to read? bet you she wil pick up words like her name and mummy and daddy in no time. does she point to the print? follow left to right?
use lots of language... this is the easy one... talk loads use big words...
what about maths? count out one more than and one less than. (dd did pasta, grapes, raisins etc... and ate them. dd loved this at the same age. webegan groups of at some point as well laying the foundations for multiplication and division later. telling the time, halves and quarters, volume, full and empty in the bath, cooking and measuring, how many more spoons do we need? longer shorter, wider, longest etc.
shapes? use describing word such as straight edges, three sides, corners etc.
science: go out look at plants and parts of plants, birds, various insects and other creepy crawlies. (looking ahead,several years plant/animal classification does not come unitl late secondary and there is planty of scope for extension work in future years without trampling on too manytoes in school)
dinosaurs, history, planets and space will also be acceptable topics for her out of school much later.
sod being bored at school. quite likely you could do nothing and she would be bored. do nothing and she will be bored and understimulated and possibly behave worse.
ps gifted is just a label. different people have different definitions of gifted. loads of people will tell you you can not tell at this age... like hell... if your still only one year old is starting to read ffs, or beginning to add... there are different degrees of giftedness, there is not one cut off point and it is not limited to the profoundly gifted who make the papers. All gifted kids are not the same, some are particularly advanced in just one area and ahead but not greatly so in others. Some gifted kids have specific learning difficulties.
many learn in spurts..some learn to hide their ability... some are switched off by being bored at school..
some kids learn easily... if yours is one and enjoys it do not let anyone's expectations of what is acceptable stop you...