Hey there,
Hard to learn all about something that you have never done. Here is a link to one of my favourite sites. It has video of every compulsory skill and a few others too, it will help you talk to your DD about gym without using terms like, "you know that back bending flippy thing". (my hubby's famous description of a backhandspring).
http://www.gymnasticsrevolution.com/...tive-Index.htm
The site also has tons of good tips for parents, gymnasts and coaches.
Welcome to the board, nice to have some Dads too, there are a few here, including this boards owner
JBS. ALways good to hear differnet perspectives.
Good for you for getting involved in your DD"s "other" life.