Was he trying to find something on my phone?

So me and my aqua man were on a breakfast date last week. I had my phone on the table, facing up. I don't have anything to hide. He had his there also. We started talking about his friends business and he grabbed my phone and googled the company to show me. I thought it was odd since his phone was right in front of him. Is this normal

And I'm thinking too much into it? I wasn't uncomfortable, I didn't show any signs of it either. Just wondering..

Btw he is a possessive type. Although he doesn't admit it.