Oct 19, 2011 - 10:52 PM
If you need an ice axe the trails will be closed!
2000 meters is pretty high by Switzerland standards due to the latitude.
June is usually very iffy, sometimes most of the higher elevation hikes are still closed (such as Schynige Platte to First, Mannlichen to Kleine Scheidegg, etc). The high passes (Sefinenfurge and Hohturli) are almost always still closed. But there are some very nice lower elevation hikes. Everything around Lauterbrunnen Valley will be open; you will be able to hike from the valley floor to Wengen or Murren most certainly. There is a nice walk along the river from Lauterbrunnen to Wilderswil, also a nice walk around part of Lake Brienz (the Planetenweg). Meiringen to Grosse Scheidegg *may* be do-able -- or you will certainly be able to get most of the way then take the bus back to Meiringen if you can't get all the way up.
Bottom line, no way to know until a week before you go. If you can only go in June, go for it.