Is it possible to relay bluetooth data to a website?

I've got a pellet smoker with bluetooth. It's great for monitoring the temp of the grill, pellet level, and temp of 2 internal probes when I'm not standing at the grill. It's not great for doing those things while I'm not standing at the grill. See, bluetooth is a really stupid idea for a device that sits outside of your house that requires monitoring. As soon as I walk into the house, I lose the connection.

I'd like to somehow use maybe a raspberry pi to collect the bluetooth data and convert that to a web based dashboard hosted on the pi for me to connect to anywhere in my home.

My questions are:

1. How might I go about connecting to the grill with the pi? There is an Android app that it usually uses to connect to the grill for data.

2. After connecting,is there some sort of library available to convert those calls and whatnot to something I can feed to a live site I build and hose on the pi?

Thanks so much for the brainstorming assistance!