You may not have been aware, but the ecommerce software that you are using (PrestaShop) automatically generates a ROBOTS.TXT file. This file is used to limit access from bots (like Googlebot). The file is located in your PUBLIC_HTML folder. You can edit it using the cPanel File Manager. In some cases, this using the ROBOTS.TXT file is necessary and a good thing. It just depends on how you want to set it. If you want learn more about how to use the Robots.txt file, go to Stop Search Engines from Crawling your website, or you may want to review this web page from Robotstxt.org for much more indepth usage of the ROBOTS.TXT file . The advantage of allowing something like googlebot is that it can help with search engine issues. The downside is that multiple bots like googlebot can have a marked effect on the performance of your website. Please review the documentation on Robots.txt and then decide how you want to use those settings.
I'm sorry that the issue with Googlebot is occurring. We do not block the bot. The only way that it is blocked is typically through the robots.txt, .htaccess file, or possible issue DNS or the server being down itself. In this case your server is operational, and the DNS is okay. You do have quite a few entries in your .htaccess file that may be affecting it. You can actually find out what's causing the Googlebot issues by logging into your Google Webmaster Tools account and then checking your website there. We have a series of articles on using the Google Webmaster Tools starting with an introduction on its use. Google will be able to provide particular information on your site that should give you the details you need to determine why it's happening.
If you have any further questions, please leave a comment with more details and and we will be happy to review the issue for you.