People who cough up the dough for a cheesy gondola ride are probably the same types who like to go to those Ol' Timey Photo places on vacation and dress up in period garb and get a faux-sepia picture of themselves as saloon hookers and cowboys.You can get a better, more practical, more authentic and more economical experience on the vaporettos (water taxis). And better romance in a spontaneous, non-contrived moment than you ever will on a fucking gondola.
Venice is great because it's low on sites and high on ambience. My ideal day in Venice, for someone who's never been:
1) Start at St. Mark's square and go up in campanile. That's the first thing to be done in any city -- go to the highest place, look out, enjoy the view and get your bearings and the lay of the land.
2) Tour St. Mark's church
3) Tour the palace of the doges (which is my favorite building there). Walk over the Bridge of Sighs and think of all the people who marched to their death there.
All the above three can be done in a couple of hours.
4) Catch a water taxi from the plaza to the Rialto bridge around the other side of island. It's a quick walk, but the water taxi is more fun. See the bridge, look at the trinkets.
There are a couple of other sites, like St. George's Cathedral (?) and the Peggy Gugenheim Museum, not to mention the other islands like Murano and Borano or whatever, but I'd save those for another trip if you only have one day.
5) Spend the rest of the day walking. When you cross the Rialto, just wander on that side for a while. Get lost. Duck into tiny piazzas where everyday people live and colorful laundry hangs and old ladies tend their flower boxes and old men play bacci ball. Cross back to the main island and go out the bridges to the other islands. Walk some more.
To eat, try any place off the beaten path where the tourists aren't. Venice isn't about the food. Just eat simply and well. Linger at the table over wine or beer.
That's it. One perfect day in Venice.
Oh, and Rule #2: get far away from the loud ugly Americans from Jersey.