How can I find what the calender court date is for someone who has an appeal with social security

You check with the court where the hearing is scheduled.

I agree, court dockets are public information. Just check with the court where the hearing is to be held.

Social Security appeals are usually before an administrative law judge. But the idea is the same: ask the tribunal which is hearing the appeal when the hearing is scheduled. If you have an attorney representing you, check with that attorney.