Websites are not just there to look good: you need to get results from them or they are not worth having. The only way you can know if your website is working for you is to monitor its performance using analytics. This will show you top level stats, such as how many people are visiting your website, how many are looking at certain pages, what your bounce rate is etc. It can also show you more in depth analytics if you set it up to work for you, such as the flow of traffic through your website.
You may need to use different analytics tools depending on what you want to know about your website and its audience. For example, tools like heat maps might be able to show you more, like where people are clicking and looking and where they are going from certain pages. You will need to work out the tools that are right for you.