Depending on the Wi-Fi basestation or router in use, yes.
If the Wi-Fi is not encrypted, they all of your traffic is easily seen.
Even if the Wi-Fi is encrypted, if this is a higher-end router, it will be logging your traffic. This allows the administrator to view your browsing.
However, if it is a low-end unit, without logging, and is encrypted, it would be exceptionally difficult for someone to know your browsing history.
I recommend that we use Virtual Private Network (VPN) at all times. This helps to prevent evesdropping, and keeps our security and privacy intact. There are thousands of VPN providers – and the one you choose makes a huge difference in security level. But that is a discussion for another day (or buy one of my books – where I give my choice, and show how to make a wise decision for yourself!)
