It's always great to hear of juniors interested in shooting. To start, I think the best way is to find a local club with a Smallbore position shooting program. This includes the same type of shooting at the Olympics. Since there are also college scholarships for international style shooting it pays to have that experience in this area. Some clubs shoot postal matches which are ways to compare skill levels with nationwide participants. Most clubs with junior programs have basic equipment so you may not need to make an immediate investment. Contact the NRA or your state association for places that have junior programs. This can also lead to other organized shooting such as the junior Highpower competition. These can include the VFW, police organizations [aka] PBA, and even some shcools.
At worst let her shoot what you have but focus on a bullseye type target and keep a log of any scores.
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Distinguished Rifleman #731