My Gmail, and Hotmail emails, so that I don't have to go and check on my own?

So I get an email in Gmail and it'll appear in Thunderbird.
yeah, change the settings in gmail.

I have a gmail acount that I log into using thunderbird.
I've downloaded and installed. I had the choice of making a Gmail, but I already have one. Could I just enter my current gmail into there and it'll work?

I didn't think it was meant for that, so I took the first option, and now I'm here:

What do I put for the second box?