How do I gain access to the HDMI port on my laptop?

Typically the HDMI port on a laptop is an HDMI-Out port and not an HDMI-In port, which is what you would need to do what you're trying to do. So you'd need to check what kind of port you have.

I need help with this same thing, And my laptop has an HDMI port thingy, and I have a hdmi cord plugged in between my laptop and my xbox, but I dont know how to switch over to the xbox screen. Im on windows 10, do you know anyway I can do it?

I do have HDMI port on my laptop so all I should need is an HDMI cable correct?

Plug the HDMI cable into both your Xbox and your laptop. If your laptop doesn’t have an input port, you can buy a USB HDMI adapter. Then turn your Xbox on. Your laptop should automatically sense the new input.
If it doesn’t, access your laptop’s graphics settings in order to switch the display to your Xbox. After that, check the Xbox display settings and configure the resolution for your laptop.

I already plugged the hdmi cord into the laptop and xbox, I tried switching the display to ur xbox but I cant find it

So, your laptop has two hdmi ports, one for input, one for output? Most laptops only have an hdmi output.

As for the "to continue..." message, I've gotten that connecting to the xbox via the app and streaming to my PC, to correct it I had to sign out of the app and do a hard shutdown of the console and log my profile out and back in.

@Smiles its the hdmi port on the laptop that is only hdmi out,nothing to do with the xbox one hdmi ports.