Pension

The government agency for which your father works has a benefits office. It may not go by that precise name. It might be called the human resources office. Pick up the phone and call the government agency for which your father worked and, after several calls, you will get to the right office and someone who will be able to answer your question. There is no way of knowing in advance who, if anyone, succeeds to the benefits. For example, it may be that upon your step-mother's death, the pension terminates - no one gets anything. It may be that upon your step-mother's death the pension continues. As to the person who is to receive the continuing benefit, that may be determined by the government pension plan itself, or it may have been determined by your father; he may have filled out an pension beneficiary designation.

The point of all of this is that the answer to your question is highly fact specific. No one can answer your question based upon the information you have provided. You are going to have to do some work to determine the facts.