Anyone that has a personal name for their business will have an online domain. Be sure to buy your domain, immediately!
If your domain is taken then first try a variation on the name. JaneDoeActress.com. or JaneDoeActor.com
If your name is often misspelled you may want to purchase a misspelled version and setup that domain to redirect to your website. This way if a misspelled name is typed it can still be directed to your website.