I lived out in Cambridge and Brookline and was a
broke college student, so I never did much in the city besides wander around. First week of April will likely be crap weather, dress for near-winter temps if you plan to be out in the city all day. It's windy and cool by the water. Pretty much all of the food in the North End is great, no need to go to the big name
places (though none of them are cheap). Skip the restaurant dessert and go to Mike's Pastry if you're in the neighborhood for dinner.
There's stuff for most every interest in the area. Looks like they don't start the ferries until May, but there are neat things on the various harbor islands like old Fort Warren:
http://www.bostonharborislands.org/georges-island
Sportsball fans like Fenway Park
Weird art people like the Institute of Contemporary Art
Old art people like the Museum of Fine Arts
Berklee College of Music is the best/biggest name in non-classical music and always has stuff going on
Nerds like the (Cambridge, but just over the river very close to Boston) Museum of Science
Sitcom lovers can go to the actual Cheers bar, it's adjacent to Boston Common - the Central Park of Boston, which is probably
in early April.
The New England Aquarium is pretty cool, especially if the weather outside blows.
You can see the USS Constitution, hard to imagine that thing was built and operated so long ago. Near that you can actually see Bunker Hill, as in the battle of Bunker Hill. Turns out it's a real hill. Not a whole lot to see there but it's neat to put a "face" to stuff out of history books.
The Sam Adams and Harpoon breweries are around somewhere, dunno much about them.
MIT and Harvard are pretty epic if you venture into Cambridge, moreso Harvard unless you're a geek.
In general, I liked the AZN restaurants in Cambridge/Boston more than anywhere else I've been. The Italian is good, but there's good Italian in most places.
If you want to
and shop at Max-spec places for purses and shit, hit up Boylston and Newbury streets (they're parallel to each other a block apart). There are also tons of little restaurants and cafes on those streets in all kinds of flavors, it's a
way to spend an afternoon if you're shoppers.
Just off Boylston is the Prudential Center which is mostly a shopping mall, but it's tall as fuck with an observatory and
restaurant up top called Top of the Hub with pretty epic views. IIRC you can go to the restaurant for only dessert or cocktails if you just want to get the view.
BU has the hottest college chicks in the area, MIT has the smartest, Harvard people won't even speak to you.