City Councilman Steve Kozachik asked people to turn in their guns for a $50 gift certificate from Safeway the grocery store chain that owned the supermarket that was the site of the shooting. He wants to get guns out of people's home and bring pressure on politicians to change gun laws.
In response to the event, a Republican outgoing state senator gathered outside the same station and offered cash for guns. Several people waved signs and held up money to approaching drivers to announce that they will buy their guns.
Giffords also took a prominent role in the gun debate on the anniversary. She and husband Mark Kelly, a former astronaut, wrote in an op-ed published in USA Today that their Americans for Responsible Solutions initiative would help raise money to support greater gun control efforts.
"Achieving reforms to reduce gun violence and prevent mass shootings will mean matching gun lobbyists in their reach and resources," the couple wrote in the column. They said that it will "raise funds necessary to balance the influence of the gun lobby."
The move was hinted at in Kelly's recent comments that he and Giffords want to become a prominent voice for gun control efforts.
The couple last week visited Newtown, Conn., where a gunman opened fire in an elementary school, killing 20 children and six adults in December. They also met with New York City Mayor Michael Bloomberg, a billionaire who has spent some of his fortune in recent years on gun control efforts.
The couple was expected to discuss the initiative in an interview airing Tuesday on ABC News.
The network offered a preview of the interview Monday and during "Good Morning America" on Tuesday. Kelly described a meeting with a father of a Connecticut victim in which he "just about lost it" after the parent showed him a picture of his child.
When asked by Diane Sawyer about when such violence happens to school children, Giffords responded: "Enough."
In the op-ed piece, Kelly and Giffords discussed what they deem lawmakers' inaction on curbing gun violence.
"In response to a horrific series of shootings that has sown terror in our communities, victimized tens of thousands of Americans, and left one of its own bleeding and near death in a Tucson parking lot, Congress has done something quite extraordinary nothing at all," Giffords and Kelly wrote in the op-ed.
"This country is known for using its determination and ingenuity to solve problems, big and small. Wise policy has conquered disease, protected us from dangerous products and substances, and made transportation safer. But when it comes to protecting our communities from gun violence, we're not even trying and for the worst of reasons."
They hope to start a national conversation about gun violence and raise funds for political activity, so "legislators will no longer have reason to fear the gun lobby."
As a House member, Giffords was a centrist Democrat who represented much of liberal-leaning Tucson but also more conservative, rural areas. She voiced support for gun rights and said she owned a Glock pistol. In the editorial, the couple mentioned they own two guns that are locked in a safe at their house.
At the gun events in Tucson, Kozachik said that as the shooting fades from the public's mind, issues like controlling the sale of large-capacity magazines and keeping guns from the mentally ill need attention.
Frank Antenori organized his own event, offering cash for guns and noting that a $50 gift certificate is way too low of a price for valuable weapons.
Antenori and Kozachik accused each other of acting out of political motivations. Antenori said the councilman was sullying both the Tucson and Connecticut school shooting victims by the timing of the buyback. Kozachik said the outgoing legislator was just trying to keep his name in the news and remain relevant.
Tucson residents held events over the weekend to mark the anniversary of the Saturday morning when Loughner opened fire with a pistol with a 30-round magazine that he emptied in just 40 seconds. He pleaded guilty in November and was sentenced to seven consecutive life sentences plus 140 years.
Rep. Ron Barber, then a Giffords aide, was shot in the thigh and cheek, and went on to replace his boss in Congress. He supports an outright ban on high-capacity magazines and a new federal assault weapons ban while acknowledging there are millions of both already in circulation that will remain there.
Barber planned to mark the moment of the shooting at a private gathering with staff and family members. He will also visit a hospital to thank doctors who treated him and other victims and attend an evening prayer service.
Daniel Hernandez, a former Giffords intern who at the time of the shooting helped save her life by trying to stop her bleeding until an ambulance arrived, criticized lawmakers for not doing enough since the attack. "There's no excuse for standing back and saying we're not going to do anything this time," he said.
"It's been far too long and there have been far too many deaths," he added.
Arizona Gov. Jan Brewer, a Republican who vetoed GOP-sponsored bills twice in two years that would have allowed guns on school campuses and in public buildings, said Monday she's expecting more legislation in the wake of the Connecticut shooting, but she offered no suggestions.
"It will be something that I'm sure will be addressed in the Legislature and my ears are all open, and I'm certainly anxious if there is a solution that we get it done," she said.