Based on comments from @mattwilkie, and testing myself, I am updating this to change the first few steps. You should be able to install QGIS Wroclaw 1.7.4, with ESRI File GDB support, using the OSGeo4W installer. Here is the process that worked for me. Please note that I am running a Window 7 64Bit computer. The File Geodatabase I am opening was created using ArcGIS 10. File GDB's created using ArcGIS 9.X are NOT supported.
To test this, I started by removing all GIS related software from this computer, deleting the OSGeo4W install directory, and the cache where the installer downloads components.
Download and run osgeo4w-setup.exe from OSGeo4W website.
Choose Advanced Install, then Install from Internet. Choose your root and local package directories, and then your connection type, in my case, "Direct Connection". Once you click next, it will bring up a screen with a number of collapsed menus:

Expand the "Desktop" menu. Find the entry for "qgis: Quantum GIS (desktop)". In the "New" column, change entry from "Skip", to show version 1.7.4-5.

Expand the "Libs" menu. Find the entry for "gdal-filegdb: OGR FileGDB Driver". In the "New" column, change the entry from "Skip", to show version 1.9.0-1.

Once you click Next, it will install QGIS and all of the associated libraries. Once this is completed, open Quantum GIS, and Choose "Add Vector Data". Change the option to "Directory".

Browse to the File Geodatabase and select the directory. Click "Open"

Select a Vector Layer and press "Ok". Please note that the FileGDB API Does not support Raster Images.

As you can see, the selected layer loads in. I do not know about editing capability, though based on that blog post you referenced, it should be possible.

For your reference, here is the "About" window from my install of QGIS, showing the versions of the software, and the GDAL/OGR library being used.

I tested this on both a Windows 7 64 Bit computer and also a Windows XP Home Premium computer. It worked on both. As pointed out in the comments below, this Thread at OSGeo has a discussion of people having inconsistent results using this same installer on different workstations. I'm doing further investigation and will update as I complete.