Yup, one to the COM and one to NO. It doesn't really matter which... you've got a simple mechanical switch that will short those leads together when the button is pressed. Just for the sake of style, it's probably a wee bit cleaner to wire COM to the ground trace on the board (you can recognize because it'll be a big ol' thick trace that runs all over the board), but from a practical standpoint it won't make the slightest difference.
This will probably be a good "beginner's" soldering project, because it's a lot easier to solder something to a pad that already has solder on it. In a nutshell, here's what you're gonna do:
Get some nice stranded wire and strip a quarter inch or so.
Apply soldering iron to wire and hold it there for a bit.
Bring solder into contact with wire above the soldering iron (not the iron itself). If you've done it right, the wire will melt the solder which will then flow into and around the strands. It should have a nice, clean, shiny appearance. Don't use too much solder. This is known as "tinning."
Bring the tinned wire in contact with the solder pad. Use the soldering iron to heat the point of contact. The solder on the pad and the solder on the tinned wire should flow together and form a solid connection.
Good luck and have fun
