and also adding the jar file gcs-connector-hadoop3-2.2.5-shaded.jar as suggested by Igor, to HADOOP_CLASSPATH, I can insert a rows through Hive table into GBQ table as below
> insert into test.testmebq values(11);
2022-03-07 18:10:17,159 INFO [main] conf.HiveConf: Using the default value passed in for log id: 3bf1fd70-21ae-4648-8f4f-bcd12eb0d63b
2022-03-07 18:10:17,406 WARN [3bf1fd70-21ae-4648-8f4f-bcd12eb0d63b main] ql.Driver: Hive-on-MR is deprecated in Hive 2 and may not be available in the future versions. Consider using a different execution engine (i.e. spark, tez) or using Hive 1.X releases.
Query ID = hduser_20220307181017_90752d3e-bb82-4f5a-94db-49afdf96cabf
2022-03-07 18:10:17,406 INFO [3bf1fd70-21ae-4648-8f4f-bcd12eb0d63b main] ql.Driver: Query ID = hduser_20220307181017_90752d3e-bb82-4f5a-94db-49afdf96cabf
Total jobs = 1
2022-03-07 18:10:17,406 INFO [3bf1fd70-21ae-4648-8f4f-bcd12eb0d63b main] ql.Driver: Total jobs = 1
2022-03-07 18:10:17,406 INFO [3bf1fd70-21ae-4648-8f4f-bcd12eb0d63b main] ql.Driver: Starting task [Stage-0:DDL] in serial mode
2022-03-07 18:10:17,420 INFO [3bf1fd70-21ae-4648-8f4f-bcd12eb0d63b main] avro.AvroSerDe: AvroSerde::initialize(): Preset value of avro.schema.literal == null
2022-03-07 18:10:17,420 INFO [3bf1fd70-21ae-4648-8f4f-bcd12eb0d63b main] avro.AvroSerDe: AvroSerde::initialize(): Preset value of avro.schema.literal == null
2022-03-07 18:10:17,420 INFO [3bf1fd70-21ae-4648-8f4f-bcd12eb0d63b main] avro.AvroSerDe: AvroSerde::initialize(): Preset value of avro.schema.literal == null
2022-03-07 18:10:17,466 INFO [3bf1fd70-21ae-4648-8f4f-bcd12eb0d63b main] ql.Driver: Starting task [Stage-1:DDL] in serial mode
2022-03-07 18:10:17,822 INFO [LocalJobRunner Map Task Executor #0] exec.MapOperator: Initializing operator MAP[0]
2022-03-07 18:10:17,822 INFO [LocalJobRunner Map Task Executor #0] mr.ExecMapper:
<MAP>Id =0
<Children>null
<\Children>
<Parent><\Parent>
<\MAP>
2022-03-07 18:10:18,742 WARN [3bf1fd70-21ae-4648-8f4f-bcd12eb0d63b main] mapreduce.Counters: Group org.apache.hadoop.mapred.Task$Counter is deprecated. Use org.apache.hadoop.mapreduce.TaskCounter instead
2022-03-07 18:10:18,742 Stage-2 map = 0%, reduce = 0%
2022-03-07 18:10:18,742 INFO [3bf1fd70-21ae-4648-8f4f-bcd12eb0d63b main] exec.Task: 2022-03-07 18:10:18,742 Stage-2 map = 0%, reduce = 0%
2022-03-07 18:10:19,187 INFO [LocalJobRunner Map Task Executor #0] exec.FileSinkOperator: RECORDS_OUT_1_test.testmebq:1, RECORDS_OUT_INTERMEDIATE:0, RECORDS_OUT_OPERATOR_FS_5:1,
2022-03-07 18:10:19,187 INFO [LocalJobRunner Map Task Executor #0] mapred.LocalJobRunner:
2022-03-07 18:10:19,187 INFO [LocalJobRunner Map Task Executor #0] mapred.Task: Task:attempt_local378396178_0007_m_000000_0 is done. And is in the process of committing
2022-03-07 18:10:19,190 INFO [LocalJobRunner Map Task Executor #0] mapred.LocalJobRunner: map
2022-03-07 18:10:19,190 INFO [LocalJobRunner Map Task Executor #0] mapred.Task: Task 'attempt_local378396178_0007_m_000000_0' done.
2022-03-07 18:10:19,190 INFO [LocalJobRunner Map Task Executor #0] mapred.LocalJobRunner: Finishing task: attempt_local378396178_0007_m_000000_0
2022-03-07 18:10:19,190 INFO [Thread-1079] mapred.LocalJobRunner: map task executor complete.
2022-03-07 18:10:19,745 Stage-2 map = 100%, reduce = 0%
2022-03-07 18:10:19,745 INFO [3bf1fd70-21ae-4648-8f4f-bcd12eb0d63b main] exec.Task: 2022-03-07 18:10:19,745 Stage-2 map = 100%, reduce = 0%
Ended Job = job_local378396178_0007
2022-03-07 18:10:19,746 INFO [3bf1fd70-21ae-4648-8f4f-bcd12eb0d63b main] exec.Task: Ended Job = job_local378396178_0007
MapReduce Jobs Launched:
2022-03-07 18:10:19,747 INFO [3bf1fd70-21ae-4648-8f4f-bcd12eb0d63b main] ql.Driver: MapReduce Jobs Launched:
Stage-Stage-2: HDFS Read: 19312718 HDFS Write: 0 SUCCESS
2022-03-07 18:10:19,747 INFO [3bf1fd70-21ae-4648-8f4f-bcd12eb0d63b main] ql.Driver: Stage-Stage-2: HDFS Read: 19312718 HDFS Write: 0 SUCCESS
Total MapReduce CPU Time Spent: 0 msec
2022-03-07 18:10:19,747 INFO [3bf1fd70-21ae-4648-8f4f-bcd12eb0d63b main] ql.Driver: Total MapReduce CPU Time Spent: 0 msec
2022-03-07 18:10:19,747 INFO [3bf1fd70-21ae-4648-8f4f-bcd12eb0d63b main] ql.Driver: Completed executing command(queryId=hduser_20220307181017_90752d3e-bb82-4f5a-94db-49afdf96cabf); Time taken: 2.341 seconds
OK
2022-03-07 18:10:19,747 INFO [3bf1fd70-21ae-4648-8f4f-bcd12eb0d63b main] ql.Driver: OK
2022-03-07 18:10:19,747 INFO [3bf1fd70-21ae-4648-8f4f-bcd12eb0d63b main] lockmgr.DbTxnManager: Stopped heartbeat for query: hduser_20220307181017_90752d3e-bb82-4f5a-94db-49afdf96cabf
Time taken: 2.607 seconds
2022-03-07 18:10:19,774 INFO [3bf1fd70-21ae-4648-8f4f-bcd12eb0d63b main] CliDriver: Time taken: 2.607 seconds
2022-03-07 18:10:19,775 INFO [3bf1fd70-21ae-4648-8f4f-bcd12eb0d63b main] conf.HiveConf: Using the default value passed in for log id: 3bf1fd70-21ae-4648-8f4f-bcd12eb0d63b
2022-03-07 18:10:19,775 INFO [3bf1fd70-21ae-4648-8f4f-bcd12eb0d63b main] session.SessionState: Resetting thread name to main