there's multiple sides to this. To start with, the IoT ingestion in Azure is done tru Event Hubs as you've mentioned. If your gateway is able to do a RESTful call to the Event Hubs entry point, Event Hubs will get this data and store it temporarily for the retention period specified. Then stream analytics, will consume the data from Event Hubs and will enable you to do further processing and divert the data to different outputs. In your case, you can set one of the outputs to be a PowerBI dashboard which you can authorize with an organizational account (more on that later) and the output will automatically tied to PowerBI. The data schema part is interesting, the JSON itself defines the data table schema to be used on PowerBI side and will propagate from EventHubs to Stream Analytics to PowerBI with the first JSON package sent. Once the schema is there it is fixed and the rest of the data being streamed in should be in the same format.
If you don't have an organizational account at hand to use with PowerBI, you can register your domain under Azure Active Directory and use that account since it is considered within your org.
There may be a way of altering the schema afterwards using PowerBI rest api. Kindly find the links below..Haven't tried it myself tho.
https://msdn.microsoft.com/en-us/library/mt203557.aspx
Stream analytics with powerbi
Hope this helps, let me know if you need further info.