Get last Reoganized OR Rebuild index date
As Aaron mentioned in the comment, the indexes with a lot of fragmentation you are seeing probably got skipped due to the index being too small or too big (default for this is no index is too big).

You can search for the below parameters in the sp definition, and check the job to make sure a different value is not being passed through:

@MinNumberOfPages INT = 1000,
@MaxNumberOfPages INT = NULL,


Another possibly is that the index is being rebuilt and then re-fragmenting again. This to me would be a sign that constant rebuilds of that index actually aren't a good help.

If you're looking for when\if the index was ever rebuilt, the Ola sp does have the ability to log to a table and the previous DBA hopefully utilized this feature. If so, you can use the below to figure out when the last time an index was rebuilt.

SELECT 
'[' + DatabaseName + '].[' + SchemaName + '].[' + ObjectName + ']' AS ObjectName,
MAX(StartTime)

FROM 
dbo.CommandLog

WHERE
CommandType = 'ALTER_INDEX'

GROUP BY 
'[' + DatabaseName + '].[' + SchemaName + '].[' + ObjectName + ']'