Just make sure you have the correct printer driver installed. OS 3.5 and OS 3.9 do a much job of printing - yet another reason to upgrade. They have excellent HP support too.
I don't like Turboprint. Studio Professional II by Wolfe Faust worked better for printing needs. You may be able to find some of his printer drivers for the HP 500.
I used an HP Deskjet 500 for years with very good results from Final Writer 97, Pagestream, and a multitude of other software.
Good luck.