"I'm very happy for her," Joseph Pompeo, of Everett, Mass., said Wednesday. "She just didn't want a big thing."
New York City Mayor Michael Bloomberg served as a witness at the brief ceremony, which was performed at City Hall in Lower Manhattan by a city clerk, the Boston Globe originally reported.
The connection between the couple and Hizzoner has to do with the fact that the record-producer groom, 38, grew up in Boston, while Bloomberg himself is a native of Medford, Mass., and they have mutual friends. Pompeo, who also turned 38 on Saturday, hails from Everett.
The mayor offered his best wishes to the couple and "a lifetime of happiness."
"We have a lot in common," Pompeo has told PEOPLE of Ivery. "We're from the same hometown, almost."
A Love StoryThe couple met in a Los Angeles grocery store in 2003 and began dating about six months later, after "one night she just looked different to me," Ivery told PEOPLE last year.
"They are over the moon," the actress's spokeswoman told the Globe of Pompeo and Ivery.
After the nuptials, the newlyweds reportedly were seen at Sunday night's Knicks game at Madison Square Garden, before the bride returned to Hollywood to continue shooting her series – though it soon threatens to shut down due to the writers' strike
In June, Pompeo had told PEOPLE her wedding would not be a lavish affair, but that it would be held out of town.
"There will be no 'big' anything," she said. "It's going to be very small."
Beyond that, she and Ivery, who became engaged in November, would only say, "We were thinking about going away and getting married."
Reporting by Liz McNeil