Remove Search For field on selected pages

The V2 documentation gives an example of how to remove the Search For field from the search bar as follows:

.gd-search-input-wrapper.gd-search-field-search {
display: none;
}

Is there a way to modify this so it only removes the Search For field from GD Search on specific pages, for example remove it when the GD Search Widget is displayed on the front page, but display the full bar on other pages or CPTs?