I was thinking about using a library such as PDFBox but I would like your input.
SOLUTION
With IText
public void removeFirstPage(String input_filename, String output_filename) throws DocumentException, IOException {
File outFile = new File(output_filename);
PdfReader reader = new PdfReader(input_filename);
int pages_number = reader.getNumberOfPages();
if(pages_number > 0) {
Document document = new Document(reader.getPageSizeWithRotation(1));
PdfCopy copy = new PdfCopy(document, new FileOutputStream(outFile));
document.open();
for(int i=2; i <= pages_number;i++) {
PdfImportedPage page = copy.getImportedPage(reader, i);
copy.addPage(page);
}
document.close();
}
}