So early in the Alaskan cruise season you would be up against not the greatest weather with cold temps at sea in the 32-40* and on land typically in 40's with highs possibly topping out around 50-53 for the inside passage and much colder north in Anchorage *.
All of our 8 Alaska cruises all have been between June 15 thru August 14, July preferred, with more enjoyable weather.