Can I bring a spouse along for a conference?
Yes, it is perfectly normal and accepted, at least in all fields I have heard about. Many conferences also allow one to purchase extra tickets for the social program (conference dinner, excursions) for spouses and accompanying persons.

The only possible source of trouble is how to split the hotel bill, since you will (most likely) be sharing a room. Make sure to inquire in advance with the institution that pays for your trip, or at least ask a colleague what the norm is.