If you want to know the key words or phrase that users are searching for and on which search engines on the fly, you can look at the plugin i have installed on my website at https://www.mhchealthcare.com/health/
When someone search for my site using certain key word or phrase I get an email instantly. This keep me on my toe and I know what users are looking for immediately.
If you are looking for stats, I suggest you use Google Analytics or the stats functions provided by your hosting company.