It varies a lot depending on the bride's relationship with the groom's mother, the groom's mother's interest in doing wedding planning with the bride, whether the groom's family is contributing the traditional parts like the rehearsal dinner and transportation, and whether the groom's family has a substantial guest list such that they ought to be doing something for the wedding.
Some groom's mothers have gone along with the bride and her mother to dress fittings, etc.
My case was weird because my adoptive mom who raised me had died, my bio mom decided to have plastic surgery the week of my wedding, my dad said he'd pay for whatever but did not want to do any wedding errands, and my other female relatives lived far away.
My husband's mother invited my father and me to dinner at her house where she served us incredibly dry roast beef and just didn't clean and the whole thing was not very special at all. But she's a nice lady and asked me politely what she should wear to the wedding, and did proceed to buy a very nice dress and hat.
It all depends on your relationship with your husband's mother.