How to check GTM DNS query historic logs in F5

That's dependent on your log rotation policies. Default is 8 days, so if you need archives currently and not set for it, the answer is no (unless you are also sending files off-box to a central log manager.) You can change to retain up to 100 days, but you'll need to watch file system size with a change that significant. Settings required:

tmsh modify /sys db logrotate.logage value 30 # default is 8
tmsh modify /sys log-rotate common-backlogs 30 # default is 24

More details in knowledge article K13367.