When the shell sees > index.html in the command line it opens the file index.html for writing, wiping off all its previous contents.
To fix this you need to pass the -i option to sed to make the changes inline and create a backup of the original file before it does the changes in-place:
sed -i.bak s/STRING_TO_REPLACE/STRING_TO_REPLACE_IT/g index.html
Without the .bak the command will fail on some platforms, such as Mac OSX.