You're using proc.StartInfo, which is incorrect. It does not reflect the runtime window style of the target process. It is just startup info you can set and can then be passed on to the process when it starts up.
The C# signature is:
[DllImport("user32.dll", SetLastError=true)]
static extern int GetWindowLong(IntPtr hWnd, int nIndex);
You need to use p/invoke and call GetWindowLong(hWnd, GWL_STYLE), and pass proc.MainWindowHandle as the hWnd parameter.
You can check if the window is minimized/maximized by doing something like:
int style = GetWindowLong(proc.MainWindowHandle, GWL_STYLE);
if((style & WS_MAXIMIZE) == WS_MAXIMIZE)
{
//It's maximized
}
else if((style & WS_MINIMIZE) == WS_MINIMIZE)
{
//It's minimized
}
NOTE: The values for the flags (WS_MINIMIZE, etc), can be found in this page: http://www.pinvoke.net/default.aspx/user32.getwindowlong
Thanks to Kakashi for pointing our the error in testing the result.