Hamas released 20 hostages from Gaza on Monday as Mr. Trump arrived in Israel. Hours later, the Israeli authorities said that they had finished freeing all 1,968 Palestinian prisoners and detainees slated for release as part of the hostage exchange deal.

Mr. Trump told Israeli lawmakers that the agreement marked “the historic dawn of a new Middle East” before traveling to Egypt, where President Abdel Fattah el-Sisi greeted him. “From the city of Sharm el Sheikh, the will of the people meets the resolve of world leaders to end the war in Gaza,” Mr. El-Sisi said. “They all carry a single message to mankind: Enough war. Welcome to peace.”

The Egyptian government said that Mahmoud Abbas, the president of the Palestinian Authority, would participate in the summit, but Prime Minister Benjamin Netanyahu of Israel will not, his office said, citing a Jewish religious holiday.

Hamas militants attacked Israel in October 2023, killing about 1,200 people and abducting about 250. In response, Israel then bombed and invaded Gaza, killing about 67,000 Palestinians, according to Gazan health authorities.

Here’s what else to know:

• Relief and hope: The cease-fire and the start of the exchange encouraged both Israelis and Palestinians. “You are coming home!” Einav Zangauker, the mother of Matan Zangauker, 25, said on a video call with her son in Gaza, their first conversation since he was abducted two years ago, according to footage broadcast on Israeli television. But for some Gazans, the relief was clouded by grief and despair. “There’s nothing to be happy about,” Saed Abu Aita, 44, said. “My two daughters were killed, my home was destroyed and my health has deteriorated.”

• Trump’s speech: Mr. Trump, the first U.S. president to address the Knesset since George W. Bush in 2008, went into lengthy digressions as if delivering a campaign speech, praising Israel and touting his own accomplishments while denigrating his Democratic predecessors, Joseph R. Biden Jr. and Barack Obama. He also shattered diplomatic taboos, at one point urging Isaac Herzog, Israel’s president, to pardon Mr. Netanyahu, who is the defendant in a long-running criminal trial on charges including bribery.

• The logistics: Under the deal reached last week in talks brokered by U.S., Arab and Turkish mediators, Israeli forces withdrew to a new defensive line inside Gaza on Friday, opening a 72-hour window for the hostages to be released. Read more ›

• Hostages: The agreement requires Hamas to turn over the bodies of at least 26 hostages who died in captivity. Hamas’s armed wing said that it would release the bodies of three Israelis and a Nepalese citizen on Monday. Both Israeli and Hamas officials said it would be difficult for Hamas to gather all of the bodies in the three-day window stipulated by the cease-fire agreement. The Hostages and Missing Persons Families Forum, an Israeli advocacy group, accused Hamas of failing to abide by the agreement. Here’s more on the freed hostages ›

• Aid deliveries: Hours before the first Israeli hostages were released, the United Nations said that “real progress” was being made in delivering aid to Gaza, where a United Nations-backed panel of food experts has said that some areas are officially under famine.