Many APUG members who have been to university or college will have been taught to write their own bio's, & artists statements and also write critically about their own work. It's normal to keep the use of the first person to a minimum.
The problems with threads like this arise when APUG posters have have websites for very different reasons & purposes.
If as a photographer you are exhibiting your work in serious galleries (or hoping to), seeking funding, or looking for publication etc then it is expected that you will have a biography (bio) as well as an artists statement for the project your working on. This applies for commercial work as well, people want to see your track record.
An excellent example of a biography is
John Sexton's as posted earlier in the thread. In reality it is a type of CV that only includes material relevant to your photographic practice. Because it's likely to be sent to or used by magazines or other publications it is standard practice to use your name or refer to yourself in the third person, and the same for press releases etc.
So how and what you put on your website should compliment your aims and goals, and what you want your website to do for you. It may be there's no need for a bio on you website, the "about you/artists statement" is enough.
There is an approach that hasn't been mentioned and that is where you focus on "the body of work" instead of yourself, and this can make it very much easier to write about your images.
There are no hard and fast rules, and you have to use what suits you and your own website, as others have said the images are more important.
Ian