We have several scheduled jobs running in our server (6.5), we are planning to write a shell script to check if the scheduled jobs ran properly.

How should we do this, will this be logged in server log when the job runs?

Please advise.

You may want to define what’s “run properly”.
Do you expect a notice when it run every time? if the case, just send an email/alert at the end of the service (a wrapper service may needed)
If you expect a notice when it doesn’t run, it’s more complicated, you may need to reset a flag/timestamp everytime it runs, if the flag doesn’t reset in timely manner, you need to have another code to send alert out.