Before you share your publication, make sure you publish the publication.
Every publication is like a website and has its own web page/URL. You can find the URL of your publication in your dashboard. Just add a link to this URL on your website (e.g. by adding a hyperlink to specific text on your website). When your customers click on this link, the publication will open automatically in a new browser screen. You also can publish the publication within an iframe on your website. See your website CMS or consult your website manager to find out how you can add the hyperlink to your publication on your website.
Another option is to embed a cover image or an animated mini flipbook on your website. With this option you just embed a piece of code on your website. When clicking on the cover image or animated mini flipbook, your publication will open automatically in a new browser screen. See How do I embed a clickable mini flipbook on my website? for detailed instructions.