Driver, who played Rovers Return barmaid Betty Williams for 42 years, died peacefully in hospital earlier this month at the age of 91. Her funeral took place in Manchester on Saturday.
McAlpine, better known as Weatherfield's Fiz Stape, told This Morning today: "It was obviously such sad news for us. However, we had a real celebration for her on the weekend just gone.
"It was her funeral and it was wonderful. Helen Worth spoke and Bill Kenwright, who of course came in and played the lovely Gordon - he spoke beautifully. And they put a big screen up in St Ann's Square in Manchester, so that the fans could watch."
The actress added that plans to give Betty a fitting send-off on screen on Coronation Street in the New Year are likely to take a similar form.
"I know that they're definitely planning to do something," she explained. "Obviously I think they'll take some time to think about how to do it. It'll be similar to the celebration that we had of Betty's real life, I'm sure. I really do think so. They'll mark it in a respectful way.
"People say this about everyone, but she really was the most loving person. The Street was like her family, and she always asked how your dad was, or she'd ask people, 'How's your kids?' and she'd know all the kids' names. It was a pleasure to have known her, it really was."
Coronation Street's producer Phil Collinson recently promised that Betty's on-screen send-off will be "brilliant and magnificent".
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Browse through a gallery of Betty Driver's life in pictures below: