HP does not produce an OS X driver for this printer.
CUPS (the native OS X printing sub-system) does not support this printer.
You may find some help from Gutenprint
. It lists the LJ 1010, 1012 and 1015 as supported, but not the 1005. I would try this before giving up completely.
The low-end HP printers are host-based printers. They rely on the operating system and CPU for all print processing, having no capability within the printer itself. They are generally supported only on Windows. I hate to say it, but you may be best served by a new printer that is of higher quality and supported by OS X.