[EventGrid] README.md updates (#13517)

* Fix a link which did not have a target
* Use "Event Grid" instead of "Eventgrid" or "EventGrid" in prose

sdk/eventgrid/azure-eventgrid/README.md

@@ -1,4 +1,4 @@
-# Azure EventGrid client library for Python
+# Azure Event Grid client library for Python
 
 Azure Event Grid is a fully-managed intelligent event routing service that allows for uniform event consumption using a publish-subscribe model.
 
@@ -8,20 +8,20 @@ Azure Event Grid is a fully-managed intelligent event routing service that allow
 
 ### Prerequisites
 * Python 2.7, or 3.5 or later is required to use this package.
-* You must have an [Azure subscription][azure_subscription] and an EventGrid Topic resource to use this package.
+* You must have an [Azure subscription][azure_subscription] and an Event Grid Topic resource to use this package.
 
 ### Install the package
-Install the Azure EventGrid client library for Python with [pip][pip]:
+Install the Azure Event Grid client library for Python with [pip][pip]:
 
 ```bash
 pip install azure-eventgrid
 ```
 
-#### Create an EventGrid Topic
+#### Create an Event Grid Topic
 You can create the resource using [Azure Portal][azure_portal_create_EG_resource]
 
 ### Authenticate the client
-In order to interact with the Eventgrid service, you will need to create an instance of a client. 
+In order to interact with the Event Grid service, you will need to create an instance of a client.
 A **topic_hostname** and **credential** are necessary to instantiate the client object.
 
 #### Looking up the endpoint
@@ -43,7 +43,7 @@ eg_publisher_client = EventGridPublisherClient(topic_hostname, credential)
 
 ## Key concepts
 
-Information about the key concepts on EventGrid, see [Concepts in Azure Event Grid][publisher-service-doc]
+Information about the key concepts on Event Grid, see [Concepts in Azure Event Grid][publisher-service-doc]
 
 ### EventGridPublisherClient
 `EventGridPublisherClient` provides operations to send event data to topic hostname specified during client initialization.
@@ -54,16 +54,16 @@ Either a list or a single instance of CloudEvent/EventGridEvent/CustomEvent can
 
 ## Examples
 
-The following sections provide several code snippets covering some of the most common EventGrid tasks, including:
+The following sections provide several code snippets covering some of the most common Event Grid tasks, including:
 
-* [Send an EventGrid Event](#send-an-eventgrid-event)
+* [Send an Event Grid Event](#send-an-eventgrid-event)
 * [Send a Cloud Event](#send-a-cloud-event)
 * [Consume an eventgrid Event](#consume-an-eventgrid-event)
 * [Consume a cloud Event](#consume-a-cloud-event)
 
-### Send an EventGrid Event
+### Send an Event Grid Event
 
-This example publishes an EventGrid event.
+This example publishes an Event Grid event.
 
 ```Python
 import os
@@ -110,7 +110,7 @@ client = EventGridPublisherClient(topic_hostname, credential)
 client.send(event)
 ```
 
-### Consume an EventGrid Event
+### Consume an Event Grid Event
 
 This example demonstrates consuming and deserializing an eventgrid event.
 
@@ -173,7 +173,7 @@ time_string = deserialized_event["time"]
 - Enable `azure.eventgrid` logger to collect traces from the library.
 
 ### General
-Eventgrid client library will raise exceptions defined in [Azure Core][azure_core_exceptions].
+Event Grid client library will raise exceptions defined in [Azure Core][azure_core_exceptions].
 
 ### Logging
 This library uses the standard
@@ -189,11 +189,11 @@ describes available configurations for retries, logging, transport protocols, an
 
 ## Next steps
 
-The following section provides several code snippets illustrating common patterns used in the EventGrid Python API.
+The following section provides several code snippets illustrating common patterns used in the Event Grid Python API.
 
 ### More sample code
 
-These code samples show common champion scenario operations with the Azure Eventgrid client library.
+These code samples show common champion scenario operations with the Azure Event Grid client library.
 
 * Publish Custom Events to a topic: [cs1_publish_custom_events_to_a_topic.py][python-eg-sample-customevent]
 * Publish Custom events to a domain topic: [cs2_publish_custom_events_to_a_domain_topic.py][python-eg-sample-customevent-to-domain]
@@ -206,7 +206,7 @@ More samples can be found [here][python-eg-samples].
 
 ### Additional documentation
 
-For more extensive documentation on Azure EventGrid, see the [Eventgrid documentation][python-eg-product-docs] on docs.microsoft.com.
+For more extensive documentation on Azure Event Grid, see the [Event Grid documentation][python-eg-product-docs] on docs.microsoft.com.
 
 ## Contributing
 This project welcomes contributions and suggestions. Most contributions require you to agree to a Contributor License Agreement (CLA) declaring that you have the right to, and actually do, grant us the rights to use your contribution. For details, visit [cla.microsoft.com][cla].
@@ -229,6 +229,7 @@ This project has adopted the [Microsoft Open Source Code of Conduct][code_of_con
 [azure_core_exceptions]: https://aka.ms/azsdk/python/core/docs#module-azure.core.exceptions
 [python_logging]: https://docs.python.org/3/library/logging.html
 [azure_core_ref_docs]: https://aka.ms/azsdk/python/core/docs
+[azure_subscription]: https://azure.microsoft.com/free/
 
 [python-eg-sample-customevent]: https://github.com/Azure/azure-sdk-for-python/blob/master/sdk/eventgrid/azure-eventgrid/samples/champion_scenarios/cs1_publish_custom_events_to_a_topic.py
 [python-eg-sample-customevent-to-domain]: https://github.com/Azure/azure-sdk-for-python/blob/master/sdk/eventgrid/azure-eventgrid/samples/champion_scenarios/cs2_publish_custom_events_to_a_domain_topic.py