APPLES
Going to Montserrat on your own is very easy -and far more fun than going on an organised tour. Part of the fun is the trip in itself -which you wouldn't experience if you go on a bus with a flock of other tourists. It's more enjoyable by 'traditional' means which include train+cable car or train+rack train. Once in the mountain, there are funiculars to visit the different coves. There is a combined ticket (labelled "TransMontserrat") that can be bought at the departure station in Barcelona, located in Plaça Espanya, and includes all the necessary tickets. It can be also purchased online at the official Barcelona Tourism Information Board at the same price. Note that the decision to ride up the mountain to the monastery either by cable car or by rack train has to be made when purchasing the ticket as the transfer points are at different stations.
For a glimpse of what Montserrat is really all about --- I have to admit that the spectacular soundtrack makes it for a more dramatic video, lol!
Note that Montserrat is much more than the monastery complex, one major reason to visit is hiking in one of the numerous spectacular trails that the mountain has. More on an older post of mine at TA, read post #5 here.
ORANGES
Park Güell is a public park which was originally designed by Gaudí as a private community for the bourgeoise of the city -sort of what you guys call a 'gated community'. But the commercial venture didn't work out and its promoter, Count Eusebi Güell, decided to donate it to the City and its citizens.
The park contains numerous pieces of architecture (Sala Hipòstila, Plaça de la Natura, Viaducte, etc) reunited in one part of the park -the one that now requires a ticket to be visited and which amounts to an 8% of its total surface- called the Monumental area that has now a limited access (800 visitors each hour) thus making it an enjoyable experience -no endless flocks jamming it any more. This is not to say there aren't many visitors of course, after all, an estimated 2.3 million visit this area every year, yet far less than the 9 million that used to when the whole park was free. The vast majority in itself continues to be FREE. The Monumental area contains most of the monuments -but not all, a few can be seen in the free zone- and it's indeed well worth visiting: the Viaduct or the Turó de les Tres Creus at the top of the park and with an impressive view of the city. It's advisable to arrive a bit earlier to the park and venture to these sites. More info: http://www.parkguell.cat and for a glimpse.
Also for info, The Casa Museu Gaudí (Gaudí Museum) located in the park requires a separate ticket -as it's privately run by the Sagrada Família Foundation, while the park is public and it's managed by the City Council. There's a new attraction a stone throw away from the park, Gaudí Experience which is interesting for those particularly curious about the works of the great architect.
Enjoy!