This summary is not the rule. The rule text controls.
When someone loses a case and decides to appeal, they can ask the court to pause enforcement of the judgment while the appeal is going on. This pause is called a stay. To get it, the person appealing (called the appellant) has to post a bond, which is basically a financial guarantee.
The bond can be filed either at the same time as the notice of appeal or sometime after it. It doesn't have to happen right away, but it does need to happen for the stay to kick in.
The stay doesn't take effect automatically just because a bond was filed. A judge has to review and approve the bond first. Once that approval happens, the stay becomes effective, meaning the other side generally can't take steps to enforce the judgment while the appeal is pending.
One exception to keep in mind: this rule doesn't apply if Rule 62.01 says otherwise. So if that other rule covers the situation, the process may work differently.