Having an SSL certificate will not automatically boost your website to the top of the search engine results pages. You need to consider all the other SEO factors as well as SSL. If you're ticking off all the boxes then having an SSL certificate will certainly help your rankings though.
Also, Google recently announced that having an SSL Certificate is the easiest thing site owners can do to boost their website SEO ranking. The Google search boost for using SSL applies to all sites, whether they have personal information or not.
Hope it helps.