Does your Form disappear after you have filled up your total allowed form views?

lets say the free membership has 1,000 views but the 1,001st person hits your web link to see it will it simply just disappear or? 

When you reach any limit(submissions, payment submissions, available space, or form views), all your forms become disable, and you won't be able to receive another submission until the counters reset the first day of the following month.

If you want to permanently lift the form views limit, you can enable the JotForm footer: https://www.jotform.com/help/355-Form-View-Limits-What-is-it-all-about 

Let us know if you need more help, we will be glad to assist you.