For his first show, he had the same politically-themed monologue, used the old familiar Headlines bit and brought a segment featuring a comedian nobody heard of before but I doubt Leno fans will like it. As for the guests, he had Jerry Seinfeld on as his 1st guest and also a music performance by Jay-Z, Rihanna and Kanye West, who also apologized for his infamous interruption during Taylor Swift's VMA award acceptance speech.
Jay Leno continues to do what he had been doing for the last 17 years which is rely on everything and everyone around him to provide the funny for his show while he goes on through the motions, as if his main concern is to finish tonight's show so he can immediately start tomorrow's show.
I wish Jay Leno would try harder at being funny himself than depending on everyone else to be funny for him. The 1st show attracted 18 million viewers so he has a fan base, nobody can deny that but the true abilities of The Jay Leno Show will be revealed when the show goes head- to-head against NBC's dramas. And even if it wins the ratings battle, it wouldn't matter much anyway cause people's standards have been lowered to the point where they will believe anything they see on TV is "great". It won't change the fact that Jay Leno stopped being funny a long time ago.
In conclusion, if you liked the Tonight Show with Jay Leno, you will like the Jay Leno Show. If you didn't like the Tonight Show with Jay Leno, you're probably still waiting on Conan to be himself again.