There was speculation that it would be released on April 17th but like balthasaur said, in the U.S. games usually release on a Tuesday. My guess is either the 14th or the 21st.
Edit: So far the Tuesday theory is consistent, the BG was released on a Tuesday and OR was released on a Tuesday as well.
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Sims Fanboy
Play with Life
http://www.amazon.com/Sims-4-Get-Work-Mac/dp/B00T3MEQNI/ref=sr_1_1?ie=UTF8&qid=1423531660&sr=8-1&keywords=sims+4+get+to+work
And yes it will be available in stores not just a digital download.
Edit: So far the Tuesday theory is consistent, the BG was released on a Tuesday and OR was released on a Tuesday as well.