Yes it should. You may also find a tool that will automatically scan the machine for HP updates (graphics, wifi card drivers, etc.) and assist with downloading and installing them.
W10 are doing update in PC drivers automatic, on my PC first time was an video card driver, second time was an sound card driver.
On the video driver I had to send the W10 find the driver, but in the second case the W10 has fixed itself, very nice.