Uzupis Constitution segment in this Vilnius video report around 5:30, http://www.youtube.com/watch?v=36HaU_XcKyA
french, portuguese, spanish or english
Best time to enjoy the view is in the late afternoon, because in the morning the sun will be behind the old town making the sight (and pictures) not too good. Climbing on foot is quite steep but short.
The manual ascent really isn't bad. Balls to the funicular, go for a freakin' walk people. And if you're a cheapskate (like myself) you can enjoy great views from the top of Castle Hill without necessarily going to the top of the tower. Good place to hang out in general.