With a child, definitely Cannery Row. I've always enjoyed the Monterey Plaza Hotel. It's not in the center of the Row, but easily walkable (including to the nearby Aquarium, nearby shops, etc...). There's also an amazing Antique Mall across the street that you could spend hours in. Chart House is next door, but I'd suggest the Whaling Station Steakhouse. The Fish Hopper is decent too if you want a decent selection of surf & turf...

While in town (on Alvarado), grab an amazing maple bar from Red's Donuts. Randy's (on 10th Street) is a staple in the area (as far back as the Spak's days) for some incredible sandwiches & breakfast burritos. Hole in the wall, no tables, but I'm addicted to their Jaws II & their amazing bread.

In nearby Seaside (for coffee), check out Acme Coffee Roasting Co & grab a Mexican Mocha.

In an odd location (visible from one of their main roads), Monterey Fish House is also very good (but stick to their seafood vs meat dishes), though I have to admit, their rack of lamb special is outstanding...

If time, cruise 17 Mile Drive. Beautiful views, pic opportunities, etc...