In fairness to ladylucille, wala naman syang sinabing tuturuan na nyang magbasa ang kanyang 1-year-old. In my opinion, it is never too early to teach a child. For a 1yo, my suggested activities would be about the discovery and development of her 5 senses (you can also first teach her the body parts).
For example,
Week 1, sight: You can teach about light and dark--take her outdoors, look at the sky/clouds, point to the passing airplanes and birds, then at night time, look at the stars/moon, blinking airplane lights. Have a shadow show. Make funny faces in front of the mirror.
Week 2, smell: You can expose her to different smells--take her to the garden/park and smell flowers and cut grass, to the kitchen to smell cooking food (and/or coffee, vinegar, fruits).
Week 3, touch: Teach her about hot and cold, wet and dry--get a cup of warm water and dip your fingers, get her to play with ice cubes. Introduce her to different textures--let her play with slippery soap, sticky glue, dip her hands/fingers in a container of uncooked rice/grain/pasta, tickle her with cotton balls, touch an emery board/sandpaper, finger paint, pet some animals (if not allergic).
Week 4, hearing: Play music/musical instruments (teach loud and soft), sing songs, listen to the sounds of animals in your neighborhood, read books to her.
Week 5, taste: Feed her different kinds of food and describe the taste of each.
^For us naman, ang advantages of early reading are better communication within our family (my daughter and her Dad sometimes exchange text messages, and we write each other letters/notes), and independence for her (she can read her books anytime she wants even while I'm doing chores; she can read food labels, instructions at home and in school), and she becomes more aware of her surroundings (imagine the many things you can learn and discover--for an adult, think what it's like if you're in Japan and you can read and understand Japanese characters, di ba it's like a whole new world opened up?).
In my opinion, it's important for a parent to teach her/his child at an early age, and present a lot of learning opportunities, so the mom/dad can see for themselves where their child's interests lie (whether in reading, painting, dancing, singing, etc), and encourage/build on (not put pressure) those interests.