No, Chromecast and Chromecast with Google TV are two very different products.
Chromecast is a streaming device that plugs into your TV's HDMI port. It allows users to stream content via apps like Netflix and Hulu, as well as cast content from their mobile devices to their TV.
Chromecast with Google TV, on the other hand, is a streaming device that runs on Google's Android TV platform. It offers access to subscription services like Netflix, Hulu, and YouTube TV, as well as a range of apps from the Google Play Store. It also comes with a voice remote, Google TV interface, and access to Google Assistant.
So while both Chromecast and Chromecast with Google TV are streaming devices, they offer different experiences. For more information, you can check out this helpful guide that compares the two devices: https://www.androidcentral.com/chromecast-vs-chromecast-google-tv