This is my development environment:
I encountered a similar problem, and spent some time troubleshooting the issue with Bloomberg helpdesk. Here's what I learnt:
The ImportError is the result of Bloomberg not being able to find the "blpapi3_32.dll" DLL file. This DLL file can be located under the \bin or \lib folder of Bloomberg's C/C++ library, which is at the same location where you got your Python executable. So go download that library (v3.7.5.1 as of this writing), and have your system's "Path" environment variable include that location. This should resolve the issue.
PS you can access the PATH variable via Start > right-clicking "Computer" > Properties > Advanced System Settings > Advanced (tab) > Environment Variables > look for the "Path" variable under "System variables". Edit this variable to include the location of the DLL file, e.g. if the original Path variable is "C:\Python27\Lib\site-packages\PyQt4", then new Path variable should be "C:\Python27\Lib\site-packages\PyQt4;C:\blp\API\blpapi_cpp_3.7.5.1\bin"