is the boumediene v bush case an appellate court apart from being a supreme court case? can a supreme court b an apellate case too?

Yes, it would be a "local" federal case that was appealed to the circuit court and then to the Supreme Court. Depending upon how the appeals are framed, the names of the parties may switch around from one level of courts to the next (i.e., "plaintiff" may become appellant or respondent in the appeal).