@KEERTHANA JAYADEVAN Welcome to Microsoft Q&A forum and thanks for reaching out here.
As @Amira Bedhiafi rightly pointe out, Currently ADF Google cloud storage connector only supports as source but not as sink.
To know more about what connectors support source and sink and applicable in other activities, please refer to this connectors documentations: ADF Connectors Overview
As ADF doesn't have an out of box sink connector for Google cloud storage, if you can use the Google cloud Storage REST API's, then probably you can use REST Connector in COPY activity and Google cloud REST API to copy the content. Else you may also explore Custom Activity and write your own code to meet your business need.
Hope this info helps.
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