Did you see a screen like this when purchasing?
Your site would be whatever you put in the yoursitename field + .atlassian.net. (e.g. https//:yoursitename.atlassian.net).
You should also get an email from Atlassian confirming site set up, which will have your URL in it.
If the above doesn't help It might be best contact Atlassian directly, using this link: https://www.atlassian.com/company/contact/purchasing-licensing
Hope this helps.
If you have a cloud JIRA then do what Sam Hall told you to do. Because in this case your URL will be a Atlassian server URL which will be given to you after purchasing
But if you have a server then It will be better to ask your system administrator about your URL. In this case your URL is your company's server address in your local network
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