You should look at the "Content-Disposition" header; for example setting "Content-Disposition" to "attachment; filename=FileName.pdf" will prompt the user (typically) with a "Save as: FileName.pdf" dialog, rather than opening it. This, however, needs to come from the request that is doing the download, so you can't do this during a redirect. However, ASP.NET offers Response.TransmitFile for this purpose. For example (assuming you aren't using MVC, which has other preferred options):
Response.Clear();
Response.ContentType = "application/pdf";
Response.AppendHeader("Content-Disposition", "attachment; filename=FileName.pdf");
Response.TransmitFile(filePath);
Response.End();
If You Are try to open then the file in Api Convert Stream to BytesArray and then Fill the content
HttpResponseMessage result = null;
result = Request.CreateResponse(HttpStatusCode.OK);
FileStream stream = File.OpenRead(path);
byte[] fileBytes = new byte[stream.Length];
stream.Read(fileBytes, 0, fileBytes.Length);
stream.Close();
result.Content = new ByteArrayContent(fileBytes);
result.Content.Headers.ContentDisposition = new System.Net.Http.Headers.ContentDispositionHeaderValue("attachment");
result.Content.Headers.ContentDisposition.FileName = "FileName.pdf";