E-Court is a system that was designed for litigants and lawyers to keep track of Motions and other relief requested of the Court. When an action or motion is marked "disposed of" it usually means that it has been decided. It is the job of your lawyer to verify what has been marked on e-court as: "Disposed Of". The Court will send either you or your lawyer a copy of a decision or order or judgment of divorce.
That would indicate that there are no further court appearances and that the case is resolved. However, that does not necessarily mean that the judgment of divorce has been signed. You can inquire by contacting the Judgment clerk. Please have your index number available. If the clerk cannot give you the information, you may go to the county clerk [ 240 old country rd mineola if your case was handled in Nassau]. Photo ID is required.