Visiting Bozeman area in mid/late June. Suggested activities?

As the title said, we'll be there for about a week. We have a young kid and a dog (the dog can stay in the cabin).

We live in Chicagoland but are sort of scouting Bozeman in anticipation of a possible move out there. We've got some plans to check out some of the usual touristy stuff but if there's something else we should do/see we'd love suggestions!