For most Hollywood Bowl performances the Pool section (closest to the stage) is configured with private boxes (see the seating chart). For many of the leased events held at the Hollywood Bowl the boxes are removed and replaced with folding chairs. While still the closest seats to the stage you lose the ability to dine in your own space. You might be OK with this especially given the fact that many of the leased events are higher-energy concerts where you might be on your feet all night (Aerosmith, Coldplay, etc). Just know before you go.
One exception is the Playboy Jazz Festival. While a leased event the private boxes remain in the pool section.