Here's a chart showing that most of the SNOTEL sites had fallen well behind 2014 by the end of June - despite a wet June this year - but this year's cumulative precipitation has surged ahead in the past week.
At the Munson Ridge site, elevation 3100', the total rainfall since June 1 is now the highest on record (1982-present); a remarkable 15.6" has fallen so far this summer (see data here). Of this, 6.5" fell in the past week, which makes this the wettest week in the history of the observing site.
Nowhere else in Alaska has reported over 15" of rain so far this summer, and relatively few places in the lower 48 have been wetter - see the map below, based on NWS (combined gauge and radar) data. The national "winner" (airport and COOP stations only) is Fort Myers, FL, with 21.9" of rain since June 1 - and that's a good deal wetter than normal even for a southwest Florida summer (I used to live there - it's wet).
The Chena River flood control system was activated on Wednesday to prevent water rising too high in Fairbanks. Here are webcam views from downtown Fairbanks (Friday evening) and from Nenana (yesterday evening):