Hi rgslattes1,
It is strange the printer is beeping and there are no errors. The only thing I can find that relates to the printer beeping is a possible paper jam. Although you do not have a paper jam message, and you are able to print test page I think the best approach would be to complete the steps in the following document; HP Photosmart Premium e-All-in-One Printer Series (C310) - 'Paper Jam' Message Displays on the All-in-One.
If the issue persists, let me know I will see what else I can find that might help.