While it might be exceptional, it is not out of the ordinary to include a BIO on your own website or even on your BLOG.
If you have the talents and funding to create and run your own site, then you should. Running your own site is fun, educational and can help you to build skills that are applicable for jobs in the computer industry. I would encourage you to add your Resume to your BIO if you have your own site.
If you are just thinking of creating a site, then I would suggest a little research, it will give you options of getting a website and FQDN for as little as $3.00 per month for 3years. (Can be much higher if you get a high priced provider. $50.00 - $100.00 / month)
Low cost Web hosts search: