First of all, it's important to remember that the stories you create in Twine 2 are stored in your browser only, even if you are accessing it on the web. The address you see in your browser when you choose to play or test a story will not work if someone using a different computer or device opens it.
Instead, you'll need to publish your story using the Publish to File option in the story menu, and then post the resulting file to a web site. If you don't own a web site of your own, then right now your best option for posting your story is philome.la. It only requires a Twitter account to post, and is completely free – and, on top of that, it's very easy to use!
Please think twice about posting your story to Dropbox or Google Drive. While it may work, these products were not designed to host web content for the public to consume, so the method you use may stop working abruptly in the future.
Once you've published your work, consider adding it to the IFDB.