Hardwick himself has described the series as the shell of Talking Dead combined with the soul of his Nerdist podcast with his Comic-Con panels serving as the guts.
While Talking Dead tends to focus solely on the series it was created for, Talking With Chris Hardwick is going to be more about the guest and very similar to the format Hardwick uses in his podcast.
While the series description sounds closer to his podcast, AMC has mentioned that the series will retain its live audience and offer the similar at-home interactivity the Talking Dead has thrived on.
This means a celebrity could be on to discuss their new series, but ten minutes later they could be talking about past work or personal stories.