You can check for remaining standalone driver packages on the official HP PSC 1350 Support Page
Windows 10 includes basic drivers for many legacy HP printers. This is the most reliable way to get the device working without external software. HP PSC 1350 won't work with Windows 10 hp psc 1350 allinone printer driver for windows 10 upd
If you absolutely need the full HP software, consider installing Windows 7 in a virtual machine (VM) and passing the USB connection through – but for 99% of users, the native Windows 10 solution is fine. You can check for remaining standalone driver packages