Yes - similar to purchasing a plugin through a one-off payment at Plugin Boutique, you will be able to access the newest updates for any plugin via your My Account area here.
When an update becomes available for your plugin, the download links will be updated automatically. To download the new version of your software, just click Download and then choose either the Windows or Mac icon to start your download.
More information on how to download updates from within your account can be found here.
If you have any further questions about your Rent to Own plan, please contact our Customer Care team here and we'll be more than happy to help.