As far as I know, there is no Service Bus emulator.
A feedback on UserVoice is open at https://feedback.azure.com/forums/216926-service-bus/suggestions/2565564-provide-a-service-bus-emulator-on-a-local-computer and a GitHub issue at https://github.com/Azure/azure-service-bus/issues/223.
Don't hesitate to upvote and subscribe to these feedback channels.
However, the Azure Storage Emulator includes an emulator for Azure Storage queues if this can be an alternative: https://azure.microsoft.com/en-us/documentation/articles/storage-use-emulator/
If your run your Web Job code locally, the WebJob trigger might be able to connect to the local Azure Storage Emulator. Please see https://azure.microsoft.com/en-us/documentation/articles/websites-dotnet-webjobs-sdk/#workerrole