Thanks to the Nexus 4, Nexus 7, Nexus 10, and the help of a few Googlers he got just what he wished for.

If you picked up a Verizon Galaxy Nexus, you probably got an over the air update to Android Ice Cream Sandwich 4.0.2 almost immediately. The update file is approximately 10.7 megabytes, and installs in about five minutes. The update of GSM model brings the same changes as the one on the LTE version and is 8.7MB in size. So, you can update by check Settings> About phone > System updates and update it. The other way, you can manually update Android 4.0.2 OTA to your GSM Galaxy Nexus by following below:

This is step for manually update the GSM Galaxy Nexus to Android 4.0.2 using OTA package. For full flash/install Android 4.0.2 (Factory Image), check out the Install Android 4.0.2 with unlock bootloader, root and CWM to Galaxy Nexus page.

DISCLAIMER: Mobile Geeky will not be held responsible if you lose data or your device gets damaged in the following of this guide. Proceed at your own risk.

Software and Hardware Requires:

• The GSM Galaxy Nexus must codename ‘yakju’ NOT the Verizon Galaxy Nexus, or ‘yakjuxw’, or ‘yakjusc’ or any of the other variants.
• Android SDK installed on your computer, download here
• The latest ClockWorkmod recovery image (download).
• Google Android 4.0.2 update from Google.

Step for update Android 4.0.2 OTA on GSM Galaxy Nexus

1. Setup the Android SDK:

• [Computer] Install Android SDK with “Run as administrator” and launch Android SDK Manager.
• [Computer] Select Android SDK Platform-tools and click install.
  
• [Computer] Set your PATH variable by click right on Computer and select Properties.
• [Computer] In the window that opens, select “Advanced system settings”, and select “Environment Variables”.
• [Computer] Another window will open, in the bottom text box select “Path” and click the button labeled “Edit…”
• [Computer] You’ll see a new dialog where you can enter text. Navigate to the end of the existing text, and enter the following exactly as written:
  ;C:\Program Files (x86)\Android\android-sdk\platform-tools;C:\Program Files (x86)\Android\android-sdk\tools;C:\Program Files (x86)\Android\android-sdk
• [Computer] Click “OK”, “OK” and “OK”.

2. Unlock bootloader for your GSM Galaxy Nexus:

• Backup your data.
• [Galaxy Nexus] Shut off the phone.
• [Galaxy Nexus] Press and hold both Volume Up and Volume Down, then press and hold Power.
• [Galaxy Nexus] When the phone reboots to fastboot mode. You’ll see an Android robot with his front panel open. Check to see that the text below it starts with “FASTBOOT MODE” in red.
• [Galaxy Nexus] Plug your device into your computer with the USB cable.
• [Computer] Wait until any drivers successful installed.
• [Computer] Open the Windows command prompt and and type:
  cd \Program Files (x86)\Android\android-sdk\platform-tools\
• enter the following:
  fastboot oem unlock
• [Computer] You will see a screen that explains the pros and cons of unlocking it, and warns you that “ALL DATA WILL BE ERASED“.
• [Computer] Choose Yes to ERASE ALL DATA and unlock the bootloader.

3. Update the GSM Galaxy Nexus to Android 4.0.2

• [Galaxy Nexus] Plug your device into your computer with the USB cable.
• [Computer] Copy the Android 4.0.2 OTA to the root directory of sdcard on your Galaxy Nexus.
• [Computer] Copy the ClockworkMod image file to in the “\Program Files (x86)\Android\android-sdk\platform-tools\”. Rename the ClockworkMod file to cwm.img.
• [Galaxy Nexus] Reboot your device to bootloader mode by press and hold volume-up and volume-down, then press and hold Power.
• [Computer] Open a command prompt and type:
  cd \Program Files (x86)\Android\android-sdk\platform-tools\
• [Computer] Type the following command to unlock the Galaxy Nexus:
  fastboot.exe boot cwm.img
• [Galaxy Nexus] Use the ClockWorkMod recovery menu to flash a zip file from the SD card, and choose the Android 4.0.2 OTA zip.
• Wait until it finishes.