The most straightforward way would be to grant select on that table to the user. For example, if the user is a SQL Authenticated user, you would do something like this:
GRANT SELECT ON dbo.P109A6 TO [JohnSmith];
If the user is Windows Authenticated, then it would be like this:
GRANT SELECT ON db0.P109A6 TO [YourDomain\JohnSmith];
That said, if you have a DBA, check with her to see what they normally do. If the normal procedure is to add users to relevant AD groups, as @boblarson suggested, you may not need to do anything on the database; instead, the windows sysadmin should add the user to the relevant group.
If it is a confidential table, you may not want to give select permission on the table itself if they are accessing the table through a stored procedure. In that case, just grant them EXECUTE permission on the stored procedure(s).