Connecting a new printer to an old MacBook Pro

Should be a matter of checking the HP site for drivers for models of

of printer. Many of also give options for driver-less 'AirPrint' setups.

Available drivers should be automatically available to newer macOS.

• Solve printing problems on Mac - Apple Support

https://support.apple.com/guide/mac-help/solve-printing-problems-on-mac-mh14002/mac

• About AirPrint - Apple Support

https://support.apple.com/en-us/HT201311

• Official HP® Printer Drivers and Software Download

https://support.hp.com/us-en/drivers/printers

Sometimes a present version of driver may need

removal & reinstall, for them to work adequately.

It would be helpful if you could post the EXACT make&Model, giving Readers the option of looking up the printer's capabilities. HP has made a LOT of printers over the years, and recently left a lot of them behind as well.