Boring...whoever told you that did not love being a DBA :)
Now I am a SQL Server DBA but the market I am in down in Alabama is full of Oracle jobs. It is difficult to get in with no experience. The job openings I am seeing are not folks leaving junior or beginner DBA positions, they are senior level. So you will find job postings that require 5 or 10 years experience. I saw one the other day that wanted 20+ years experience.
Getting into SQL Server positions, I'm not sure if Oracle would be the same, is usually done from within the company. You will see system administrators that do minor support for SQL Server and then decide to get more involved with it, then eventually become the DBA for the company. That is how I got into. I did system admin work for about 7 years and then wanted to be a DBA. Since I had supported SQL Server for about 5 of those years I had enough experience to back it up, along with a few certs I had earned.
The best thing I can tell you is to start volunteering for DBA work, either within your company or around your business community.