I found the solution!
string newFile = Server.MapPath("~/") + "ModF23_Final.pdf";
string pdfTemplate = Server.MapPath("~/") + "ModF23.pdf";
PdfReader pdfReader = new PdfReader(pdfTemplate);
PdfStamper pdfStamper = new PdfStamper(pdfReader, new FileStream(newFile, FileMode.Create));
AcroFields pdfFormFields = pdfStamper.AcroFields;
pdfFormFields.SetField("2", FirstName.Text);
pdfFormFields.SetField("2-1", LastName.Text);
pdfStamper.FormFlattening = true;
pdfStamper.Close();