Tuesday will offer some limited improvement. A little warmer, but still very cool. Still a shower or two is likely.
Wednesday looks rather nice. Some sunshine and temperatures back into the 60's.
Thursday, will begin with clouds and some very early morning showers with a heavy downpour possible. Then it becomes partly sunny with temperatures into the 60's again.
Friday is probably dry, but one cannot total rule out a shower. Afternoon temperatures reach into the lower 70's.
Saturday is an interesting day. The GFS is touting a summer-like day of middle 80's for a high and even upper 80's for Sunday. No other model shows that. If we get a preview of summer it is more likely to occur next Monday or Tuesday. Not Saturday. I think there is the chance for a shower or thunderstorm for Sat with partly sunny skies. A warm front should be off to our SW and will try to push north but will fail.
Until then stay dry, and warm. Enjoy.