I don't believe they have a team of people
a la NSA just sitting around watching myDevice activity. That would be cost prohibitive.
But website activity is logged by the firewalls. If it's an innocent Google search, they may not really care. I mean, Google is open for a reason. I've had to Google part numbers or item numbers to try to make out what crap some idiot Team Member accepted as a Target Plus return and didn't bother to Repackage it and sent it out to the salesfloor.
If they come after me for this, I'd straight up tell them I'm not using my personal phone when I have free unlimited data for legitimate work purposes on this crap Android thing.
Rule of thumb: if you can speak to it, okay.
Now, back to the firewall. It likely is set up more like an alert function. Like
@Fluttervale mentions above, there are triggers that will cause an alert to Information Security or Network Operations staff to immediately follow up on, like naughty websites or searches.
If you did an irrelevant non-work related but otherwise family/work safe search, you're fine. Just keep your Targetwebs usage work relevant going forward. Too much checking the sports team scores may also trigger a "this TM is loafing" alert.
😉