On our el-cheappppppo HP multipurpose, the "properties" button appears when you click "Print" in most programs, and all the main settings are accessible there, if you can figure out which "tab" they're on.
The first File|Print brings up a Windows box that shows what printer is selected. You can pick another printer if there's more than one installed. Usually a button marked "Preferences" in the first window gets you into the printer that you've chosen, and from there it's pretty much unique to each printer - as set up by the driver.
When you print from some programs, you may find a "Preferences" or a "Printer" button you have to click to get to selecting a different printer - i.e. it's "variable."
That particular HP "printer preferences" menu has a "Services" tab, with a button that says "Service this Printer" and when you click it, it opens a new sub-window that allows you to print a test page, align heads, or clean heads. I'd expect the plain vanilla Windows driver installation to give you something like that for the Z31.
I don't recall that the Windows driver-only setup gives you the "how much ink is left" reading for each cartridge; but I've found that so inaccurate that I usually just wait until it "wastes a page" and then change it. (On some printers, if you run out of black the printer will "emulate black" by mixing colors, so it's hard to tell from the print when the black ink goes dry. - but if it goes into that mode they'll both be empty pretty soon....)
"She" (LiK) has the furnished HP "management program" on her machine where the printer usually is connected. It has a whole bunch of really loverly automated "things that are good for you" (according to HP) and she uses them some; but I find they mostly just get in the way when I happen to get onto her computer.