Old website showing up on google searches

Hi guys,

We recently launched our new website http://mediteraistockholm.se with the Enfold theme which we are very happy with :)

However, when we search in google for terms related to our activities, a number of pages from the old website show up.

The top result when searching: < meditation stockholm > is:

1.
Meditera i Stockholm – Meditation och Modern Buddhism för alla
mediteraistockholm.se/
Meditation. Att meditera är ett sätt att stressa av, bli mer rofylld, balanserad och fokuserad i vårt dagliga liv. Ytterst, kan vår andliga potential väckas och ge oss …
‎Kurser och retreat · ‎Tara Center · ‎Kvällskurser · ‎Kontakt

And four links at the bottom of this entry (‎Kurser och retreat · ‎Tara Center · ‎Kvällskurser · ‎Kontakt) all link to our old website, whereas the main link at the top of this entry links to our new website (although the description that is given is out of date). How do I update the description and these four links?

Also, the second highest result when searching < meditation stockholm > is an out of date page from our old website:
http://www.mediteraistockholm.se/kvallskurser.html

Is there anyway we can fix this as well?

Many thanks,
Jangdom