If you end up only being able to see your child through supervised visitation after a divorce, this can be extremely frustrating. This typically takes place when the parent who is under the order has a history of being neglectful or abusive, parental abduction is a concern, substance abuse is an issue, there is a diagnosis of mental illness, the parent has been in jail, there has been inappropriate sexual behavior in the past, or the child having requested that the parent only have supervised visits (if the child is old enough to be able to make this decision).
If supervised visitation is ordered, there are four basic ways that this can be handled. You may be able to visit your child in the presence of the other parent. It could also be a third party such as a relative or friend that will be around while you are with your child. The visitation could be monitored by a professional. Another possibility is that an organization that offers these services could be involved, or that your child's therapist could be present.
In cases where abuse has been an occurrence in the marriage or the parents has abused the child, independent agencies and social services will likely be involved in the visitation. If you have never been found guilty of any sort of abuse, it is more likely that the visitation will involve a friend or relative.
If you end up in this position, you shouldn't lose hope of being able to be with your child again at some point. Talk to your lawyer about what you can do to have the order lifted, including any actions that you need to take. Your behavior while the order is in place will likely have a lot to do with how long it stays in place.