Do you have to provide a username and password to access the Internet? If so, I would use the laptop PC as an intermediate device.
I assume that both the PC and the TV have both WiFi and Ethernet capability so you can connect either by WiFi or Ethernet. Although Windows machines support operation on Ad-hoc WiFi, many other devices do not support Ad-hoc connections so Ethernet between the PC and the TV may be the way to go.
Connect the laptop to the Internet by WiFi, and check that you can log in to the Internet and use it to access the Internet.
Connect the PC to the TV using a cross-over Ethernet cable.
Go into the settings for the WiFi adapter on the PC and configure that to allow the Ethernet port to share the Internet connection.
If you need to log in with a username and password to use the Internet, log in from the PC and keep it logged in while you use the TV.
I used this setup some years ago when I could get legal free Internet from a hotspot operated by my ISP, but could only get 10 GB/month on my normal ISP connection. I used an old desktop PC that had Ethernet and WiFi, that I booted up, connected to the hotspot over WiFi and logged in. Then I brought up the TV and could watch catchup services and Netflix. The hotspot had a two hour time out on its connection, but I could immediately reconnect and continue. Many catchup TV services and Netflix keep a track of where you had reached and could resume from that point.
I hope this helps.