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New York Today: Prepare to Sweat

6:18 a.m. along the East River. Run away from the sun if you can.Ángel Franco/The New York Times 6:18 a.m. along the East River. Run away from the sun if you can.

Updated, 9:16 a.m. | An oppressive start to the week, with a heat advisory from the National Weather Service in effect through Tuesday. Hot, muggy and gross are in the forecast, with temperatures in the low 90s, and the heat index in the mid-90s.

Bring an umbrella. There may be a th undershower this afternoon, though the heat won't start to break until late in the week. Yes, after so many cool days â€" suddenly, it's summer.

Here's what else you need to know first thing Monday:

TRANSIT & TRAFFIC - Traffic is mostly moving, if sluggishly (like many of us). Heavy spots include the Lincoln Tunnel, the Grand Central, the L.I.E. and the Gowanus. Subways are a little sluggish too, with delays on the Manhattan-bound No. 7 and the Times Square shuttle as of 9:16 a.m.

COMING UP TODAY

- The City Council will vote on whether to take up a package of measures to tighten regulation over the stop-and-frisk policing strategy. The mayor and police commissioner are scheduled to speak about how the bills would “inhibit policing and make New York City less safe,” officials said.

- If the Supreme Court rules on same-sex marriage, there will be a rally or protest (depending on the outcome) outside the Stonewall Inn in the Village at 5:30 p.m.

- Opening arguments in the federal death penalty retrial of Ronell Wilson, who killed two detectives in Staten Island in 2003 (and fathered a son by a prison guard). His first death penalty sentence was overturned by a judge who said prosecutors prejudiced the jury.

- On the campaign trail, Anthony Weiner, Christine C. Quinn and John Catsimatidis will take questions at the CUNY journalism school's Center for Community and Ethnic Media. William C. Thompson Jr. will unveil a plan to provide financial aid for undocumented students.

- New Jersey flags will fly at half-staff in honor of James Gandolfini.

- Don Rickles is not only stil l alive, he's getting a “Lifetime Achievement Award” at the Friars Club tonight.

IN THE NEWS

- City Budget Deal Reached: No new taxes, no service cuts. Still, the non-Quinn mayoral candidates are finding ways to knock it. [New York Times, Bill de Blasio]

- Two men convinced a security guard to let them into a closed West Village McDonald's to use the A.T.M. at 4:30 a.m. Sunday, locked him in the bathroom, and robbed the place. [ WABC-TV Eyewitness News]

- A rabid Republican proposed to a rabid Democrat in Times Square. She accepted. [New York Times]

- Little Earthquake in New Jersey: A barely felt 2.1 in Rockaway, 40 miles west of New York. [Wires via CBS Local]

- Mets win, Yanks lose, old-timers tell A-Rod to step up. [New York Times, New York Post]

- Midtown Funambulism Alert: Nik Wallenda wants to wire-walk between the Empire State Building and the Chrysler Building. [Wires via New York Post]

AND LASTLY…

Without overspoiling things, Don Draper went through some pretty heavy stuff in the “Mad Men” finale. [ArtsBeat]

Just in time for the tropical weather, cacao pods are ripening quite lusciously (indoors, but still), at the New York Botanical Garden. [Plant Talk]

This week, we're testing New York Today, which we put together just before dawn and update throughout the morning. What information would you like to see here when you wake up to help you plan your day? Tell us in the comments, send suggestions to anewman@nytimes.com or tweet them at @nytmetro using #NYToday. Thanks!