I'm having a player join our group that's going to be joining at the very beginning of 2nd level. They want to know if they get any additional coin or special items. I remember seeing something about that, but I can't find it. Maybe that was at even higher than 2nd though.

Could someone just tell me what a 2nd level character starts with (or just say it's 1st level stuff)? If anything extra, the book and page number it talks about that would be extra helpful. :)

Page 38 of the DMG has a table.

Per the DMG: "Starting equipment for characters above 1st level is entirely at your discretion, since you give out treasure at your own pace. That said, you can use the Starting Equipment table as a guide."

The table is divided into four tiers of levels:
Levels 1-4 get normal starting equipment. Higher levels get that plus some gold, with a base amount plus a die-roll for a little bit more. Characters starting at levels 5-10 get 500gp + 1d10×25, 11-16 get 5000gp + 1d10×250, and 17-20 get 20,000gp + 1d10×250.

Basically it's 1st level stuff.

Awesome! Thanks!

Magical item table for characters starting above 1st level:
https://i.imgur.com/dDWirqQ.png