Update README.md to reflect CRf rebrand (#9685)

Author: jama22

functions/README.md

@@ -2,25 +2,25 @@
 
 # Google Cloud Functions Java Samples
 
-[Cloud Functions][functions_docs] is a lightweight, event-based, asynchronous
-compute solution that allows you to create small, single-purpose functions that
-respond to Cloud events without the need to manage a server or a runtime
-environment.
+[Cloud Run functions](https://cloud.google.com/functions/docs/concepts/overview) is a lightweight, event-based, asynchronous compute solution that allows you to create small, single-purpose functions that respond to Cloud events without the need to manage a server or a runtime environment.
 
-[functions_docs]: https://cloud.google.com/functions/docs/
+There are two versions of Cloud Run functions:
+
+* **Cloud Run functions**, formerly known as Cloud Functions (2nd gen), which deploys your function as services on Cloud Run, allowing you to trigger them using Eventarc and Pub/Sub. Cloud Run functions are created using `gcloud functions` or `gcloud run`. Samples for Cloud Run functions can be found in the [`functions/v2`](v2/) folder.
+* **Cloud Run functions (1st gen)**, formerly known as Cloud Functions (1st gen), the original version of functions with limited event triggers and configurability. Cloud Run functions (1st gen) are created using `gcloud functions --no-gen2`. Samples for Cloud Run functions (1st generation) can be found in the current `functions/` folder.
 
 ## Samples
 
 * [Hello World](helloworld/)
-* [Concepts](concepts/)
+* [Concepts](v2/concepts/)
 * [Datastore](v2/datastore/)
 * [Firebase](firebase/)
-* [Cloud Pub/Sub](pubsub/)
+* [Cloud Pub/Sub](v2/pubsub/)
 * [HTTP](http/)
 * [Logging & Monitoring](logging/)
 * [Slack](slack/)
-* [OCR tutorial](ocr/)
-* [ImageMagick](imagemagick/)
+* [OCR tutorial](v2/ocr/)
+* [ImageMagick](v2/imagemagick/)
 * [CI/CD setup](ci_cd/)
 
 ## Running Functions Locally