Last month was the second wettest April in recorded climate history for Alaska as a whole, according to climate data released today by NOAA/NCEI. The data spans from 1925 to the present. The only wetter April was 1977, and the margin of difference is very small (3.11" vs 3.09"), so it's essentially a tie.
This marks the third month that has been either wettest or second wettest in the last year, with January and July both equaling or exceeding the previous record for those months. Interestingly, there have also been very dry months in the past year (notably June, November, and February), so the 12-month running mean statewide precipitation is only slightly above the 30-year normal; but the 10-year running mean is at a record high.
Here's the regional distribution of the April precipitation percentile. The northern Gulf coast was nearly record wet for April, and the Bristol Bay, South-Central, and Northeast Interior divisions also saw very anomalous precipitation.
ERA5 data paints very much the same picture.
The weather pattern responsible for the wet weather involved a monthly-mean trough from the Bering Strait region to northwestern Canada; here's the 500mb (mid-atmosphere) pressure anomaly for the month.
This is quite similar to the wet pattern in January, particularly in terms of the anomalous ridge axis from the Sea of Okhotsk to the Gulf of Alaska. Here's the 500mb map from January:
The main difference between the two months is that January saw a much stronger ridge near Southeast Alaska, leading to a more southerly flow direction and therefore more anomalous warmth: January was in the top 10 for warmth statewide, but April lacked unusual warmth in the west and north.
April mean wind speeds were mostly above normal in southern and eastern Alaska, but the west coast was relatively calm, especially around the Seward Peninsula.
With April still being cold enough in northern Alaska that precipitation often falls as snow, the relatively wet weather allowed the northern interior snowpack to become more anomalous compared to a month earlier. Indeed, ERA5 data suggests the snowpack is one of the greatest in recent decades for parts of the north-central interior.