Ken is right on the display of My Computer on the desktop as it's normally shown in Start Menu, but you may not have "Network" in your Start Menu. Also "Show on Desktop" is not available on right click of Network.
Easy solution though.
1. Open Personalise by right clicking on blank area of desktop and select "Personalise":
2. Select "Change Desktop Icons" in top right Menu list.
3. Select "Computer" and "Network" if not already selected. Also make sure tick is removed from "Allow themes to change desktop icons". Apply and OK out to save changes.
4. Computer and Network are now shown on your Desktop.
System Manufacturer/Model Number Self Build OS Windows 7 Home Premium x64 CPU Intel Core 2 Quad Q6600 @ 2.40GHz Motherboard Asus P5B-E Memory 4Gb (2x Corsair CM2X2048-6400C5) Graphics Card NVIDIA GeForce 9600 GT 512Mb Sound Card Realtek High Definition Audio Device Monitor(s) Displays Mirai 22" Widescreen and LG 19" Standard Screen Resolution 1680 x 1050 and 1280 x 1024
Keyboard Advent Standard with Hotkeys Mouse PC Line PCL-FL1 Wired Laser PSU Hiper Modular 530W Case Akasa Ecplise 62 Midi Cooling Artic Cooling Freezer Pro 7 Hard Drives Western Digital 500Gb SATA x 2
Samsung 1Tb SATA Internet Speed ISP: Fast.co.uk up to 8Mb Other Info Netgear Router plus 5 Way LAN Switch, Samsung Ethernet Laser Printer, Epson PX650 Colour PSC, plus 2 more Desktop PCs, 3 Laptops and 2 Netbooks in same Home Network.
System Manufacturer/Model Number Self Build OS Windows 7 Home Premium x64 CPU Intel Core 2 Quad Q6600 @ 2.40GHz Motherboard Asus P5B-E Memory 4Gb (2x Corsair CM2X2048-6400C5) Graphics Card NVIDIA GeForce 9600 GT 512Mb Sound Card Realtek High Definition Audio Device Monitor(s) Displays Mirai 22" Widescreen and LG 19" Standard Screen Resolution 1680 x 1050 and 1280 x 1024
Keyboard Advent Standard with Hotkeys Mouse PC Line PCL-FL1 Wired Laser PSU Hiper Modular 530W Case Akasa Ecplise 62 Midi Cooling Artic Cooling Freezer Pro 7 Hard Drives Western Digital 500Gb SATA x 2
Samsung 1Tb SATA Internet Speed ISP: Fast.co.uk up to 8Mb Other Info Netgear Router plus 5 Way LAN Switch, Samsung Ethernet Laser Printer, Epson PX650 Colour PSC, plus 2 more Desktop PCs, 3 Laptops and 2 Netbooks in same Home Network.