I will complete a professional SEO for prestashop store

1) write effective meta description and meta titles for products and all the pages of the site.
2) do a responsible keyword research for website, its pages and products
3) make an xml sitemap and the robots.txt for the site.
4) setup G webmasters account.(G search console and fetch all pages in G...)
5) submit the site to search engines.
6) submit sitemap to mentioned search engines.
7) setup the G analytic account and integrate G analytic with your website
8) setup the G Adwords account integrate G Adwords with your site
9) on page and off page optimization
10)Link account G Adwords and G Analytics with your account G search console
etc...
 
          !!! all these with some Extras(modules) !!!

Don't forget to check out the gig extras.
Note: SEO can take time, so you have to be patient.
Also you have to provide me your website login.