Yes.
Sit down and talk with your child about common-sense rules for computer use. You both should think about:
1. How much time per day is reasonable?
2. What sites are ok to visit?
3. Is it ok to IM and chat?
4. When your kid is using the internet for homework, what are the guidelines?
5. What happens when a rule is broken?
6. What kinds of games are ok to play?
7. What should your kid do if they encounter something that makes them feel uncomfortable?
8. How often should these rules be revisited?
9. Will you install parent-survey software? Will you discuss the results?
You should keep the computer in a public place in the house.