What do you mean, "it does not work?" WGet will try to pull the page to the startup directory, so the result may just not be going where you want it.
If I was doing this, I'd wrap the wget into a little shell script that not only pulled the file back to a known directory, but also "touched" another file to make sure it was firing off as expected. Something like:
cd /usr/home/mydirectory
touch ./lastPull
wget
http://www.mydomain.com/Then I'd be able to confirm that the script was executed, and see exactly what was pulled down.