Once you are in the Manage Site you will see the Analytics tab:

Here you will see your website visits for the past week. You can change the view via the drop-down menu for the last month or year. If you scroll down, you will see various information such as:
– Visits By Country – top 6 of the website visitors by country
– Visitors Chart – the most often accessed pages/files of your WordPress instance
– Visits By Continent – website visitors sorted by continent
– Visitors By Region – website visitors sorted by region
– Visitors By Referrer – from which site the visitors come to your WordPress website
– Visitors By Device – this chart shows the device type of your site visitors
– Visitors By Device Brand – this chart shows the brand type of your site visitors
– Visitors By Device Operating System – this chart shows the device OS of your site visitors
– Visitors By Device Browser – this chart shows the device browser of your site visitors
Looking at all this information could be confusing or at first glance not important. Nonetheless, having all this type of data, especially for a longer period of time you can easily understand key things. With this information you can have a good idea how to optimize your website for different devices and browsers. Consider potential partnerships, track marketing campaigns. Really the limit is your imagination!