I agree with the other folks who answered your question that you have a very valuable resource in your father.
He is a lucky parent that his kid wants to follow him in his work.
Tell your dad you are interested in his work, and in learning what exactly he does.
Ask him what kind of training someone like you needs to get a job like his.
And remember that you will need to do a lot of hard studying to get there!
I would check to see if your father's company offers internships. If so I would look to see if you're able to intern with his company - possibly even under his same group. Several employees I work with had the privilege of working alongside their child as an intern, and for some even lead to a full-time job!
Jonathan recommends the following next steps: