You see the graph at the top is showing the number of visitors who are visiting your website over time. This is a very satisfying number to watch as you work on driving traffic to your site. You can check it every day and see if your efforts are working.
Below are more stats such as overall number of visits.
You can see the average number of pages each visitor viewed.
The bounce rate is the number of people who were on your site for a very very short period of time. This indicates that they discovered your site was not what they were looking for and left quickly.
Page views is different than number of visitors. If every visitor looks at two pages, then you would have double the number of page views as you have visitors.
Average time on the site tells you how long your visitors are spending looking at your content. It is a good goal to improve your content to that visitors stay longer.
The percentage of new visits indicates how many of your visitors have not been to your site before. If you're hoping for return visitors, then you will want to improve content in such a way that people come back again and again.
The graph in the lower portion of the page will tell you where your traffic is coming from. This gives a good indication which of your traffic-building efforts are working.
This is only the first page of results you will be able to analyze with Google Analytics. This gives you the basics. Google allows you to study some of these factors with more depth on additional pages of the Analytics report.
To use Google Analytics, you will need to copy and paste a piece of code into your site's html. Go to Google Analytics for more information on how to do so.