Many Ziners already have reported about the sights in Verona.
I would add Castelvecchio,which is an interesting medieval castle on the
banks of the Adige with its own bridge over the river;it hosts an art
Also, I would suggest to visit San Zeno,which is a XII-XIV centuries church,a
masterpiece of romanic architecture.The two sights are 500 meters apart,and
not far from the Arena.
As for travelling time,consider 3 hrs from Lugano to Verona via Milan, and
1½ hrs from Verona to Venezia mainland.
Have a nice time in Italy