• Just check if the job is running the the SQL agent, can be on the subscriber or publisher server.

    Or

    Right click Replication, Launch Replication Monitor.

    Click publication name in the tree, under All Subscriptions tab, right click View Details.

    Under Distributor to Subscriber History you should see messages like "8 transaction(s) with 42 command(s) were delivered." with a recent action time. That confirms distribution agent is running.

    Click the Agents tab, change to Queue Reader Agent to see it's status.