On your working computer:
(1) Go here:
http://support.hp.com/us-en/product/HP-Pavilion-dm1-Entertainment-Notebook-PC-series/5082195/model/5128713/drivers And from the big blue list, select "Software and Drivers"
(2) See: "There are 2 ways to determine whether you have updates for your device. Choose from the options below:"
Go to "Select or confirm your operating system and submit" and choose "Microsoft Windows 7 (32 bit)", then tap "Next"
(3) From the long list that appears choose "Driver - Network (7)"
(4) From the detailed list that appears, find "Realtek Local Area Network (LAN) Driver" and tap the blue box that says "Download"
(5) The "HP Download and Install Assistant" will pop up and offer to "Use HP Download and Install Assistant (Recommended)l" or "Download Only". Select "Download only" and press "Next"
(6) A file will download (or a Download options window will appear and you will accept).
(7) Once that file is downloaded, copy the downloaded file to a convenient USB device
(8.) Transfer the usb device to the afflicted laptop and copy the downloaded file somewhere.
(9) Run the downloaded file on the afflicted laptop.
Bam.
Network driver installed.
Then either run windows update and see if it lets you have the other drivers or - on your afflicted laptop - go back to (1) and let the website install everything for you.
ETA: for the sake of completeness, note that once the network adapter is installed you still have to set up a broadband connection - and for that you'll need your China Unicom username and password and... Start > Control Panel > Network and Sharing Center > Set up a new connection of network > Connect to the Internet > Broadband > [
username and password here] > connect...
May the light of Mao in his good heaven shine upon us all.