You could use URL sequence substitution with a dummy query string (if you want to use CURL and save a few keystrokes):

curl http://www.myurl.com/?[1-20]

If you have other query strings in your URL, assign the sequence to a throwaway variable:

curl http://www.myurl.com/?myVar=111&fakeVar=[1-20]

Check out the URL section on the man page: https://curl.haxx.se/docs/manpage.html