Oracle SQL Grouping same value records in particular order

You can use the LAG analytic function to get the previous Task and then find when that changes:

SELECT Time,
       Task
FROM   (
  SELECT Time,
         Task,
         LAG(task) OVER (ORDER BY time) AS prev_task
  FROM my_query
)
WHERE  task != prev_task
OR     prev_task IS NULL

Or, from Oracle 12, you can use MATCH_RECOGINZE to do row-by-row pattern matching:

SELECT time, Task
FROM   my_query
       MATCH_RECOGNIZE(
         ORDER BY time
         ALL ROWS PER MATCH
         PATTERN (not_same)
         DEFINE not_same AS task != PREV(task) OR PREV(task) IS NULL
       )

Or, if you did want to use ROW_NUMBER then you can use:

SELECT time,
       Task
FROM   (
  SELECT time,
         Task,
         ROW_NUMBER() OVER (PARTITION BY task, grp ORDER BY time) AS rn
  FROM   (
    SELECT Time,
           Task,
           ROW_NUMBER() OVER (ORDER BY time)
             - ROW_NUMBER() OVER (PARTITION BY task ORDER BY time) AS grp
    FROM   my_query
  )
)
WHERE rn = 1
ORDER BY time

(But the first two are probably going to be more efficient.)

Which, for the sample data:

CREATE TABLE my_query (Time, Task) AS
SELECT INTERVAL '06:06:41' HOUR TO SECOND, 'Repack'       FROM DUAL UNION ALL
SELECT INTERVAL '06:06:44' HOUR TO SECOND, 'Vehicle Load' FROM DUAL UNION ALL
SELECT INTERVAL '06:06:45' HOUR TO SECOND, 'Vehicle Load' FROM DUAL UNION ALL
SELECT INTERVAL '06:06:46' HOUR TO SECOND, 'Vehicle Load' FROM DUAL UNION ALL
SELECT INTERVAL '06:10:47' HOUR TO SECOND, 'Repack'       FROM DUAL UNION ALL
SELECT INTERVAL '06:10:48' HOUR TO SECOND, 'Vehicle Load' FROM DUAL UNION ALL
SELECT INTERVAL '06:10:51' HOUR TO SECOND, 'Vehicle Load' FROM DUAL UNION ALL
SELECT INTERVAL '06:10:52' HOUR TO SECOND, 'Vehicle Load' FROM DUAL UNION ALL
SELECT INTERVAL '06:15:45' HOUR TO SECOND, 'Repack'       FROM DUAL UNION ALL
SELECT INTERVAL '06:16:13' HOUR TO SECOND, 'Repack'       FROM DUAL UNION ALL
SELECT INTERVAL '06:24:30' HOUR TO SECOND, 'Repack'       FROM DUAL UNION ALL
SELECT INTERVAL '06:24:34' HOUR TO SECOND, 'Vehicle Load' FROM DUAL UNION ALL
SELECT INTERVAL '06:26:11' HOUR TO SECOND, 'Repack'       FROM DUAL UNION ALL
SELECT INTERVAL '06:26:12' HOUR TO SECOND, 'Vehicle Load' FROM DUAL UNION ALL
SELECT INTERVAL '06:26:13' HOUR TO SECOND, 'Vehicle Load' FROM DUAL UNION ALL
SELECT INTERVAL '06:29:33' HOUR TO SECOND, 'Relocate'     FROM DUAL UNION ALL
SELECT INTERVAL '06:46:07' HOUR TO SECOND, 'Repack'       FROM DUAL UNION ALL
SELECT INTERVAL '06:46:45' HOUR TO SECOND, 'Repack'       FROM DUAL UNION ALL
SELECT INTERVAL '07:01:54' HOUR TO SECOND, 'Pick'         FROM DUAL UNION ALL
SELECT INTERVAL '07:04:12' HOUR TO SECOND, 'Pick'         FROM DUAL UNION ALL
SELECT INTERVAL '07:04:26' HOUR TO SECOND, 'Marshal'      FROM DUAL UNION ALL
SELECT INTERVAL '07:06:28' HOUR TO SECOND, 'Pick'         FROM DUAL UNION ALL
SELECT INTERVAL '07:17:06' HOUR TO SECOND, 'Repack'       FROM DUAL UNION ALL
SELECT INTERVAL '07:17:10' HOUR TO SECOND, 'Vehicle Load' FROM DUAL UNION ALL
SELECT INTERVAL '07:17:11' HOUR TO SECOND, 'Vehicle Load' FROM DUAL UNION ALL
SELECT INTERVAL '07:21:55' HOUR TO SECOND, 'Repack'       FROM DUAL;

All output:

fiddle