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Yes - your spouse will be entitled to social security benefits based on your earning record as a widow.
These are examples of monthly benefit payments: •Widow or widower, full retirement age or older --100 percent of your benefit amount; •Widow or widower, age 60 to full retirement age -- 71½ to 99 percent of your basic amount; •Disabled widow or widower, age 50 through 59 -- 71½ percent; •Widow or widower, any age, caring for a child under age 16 -- 75 percent.
Following SSA publications might be helpful.
What You Need To Know When You Get Retirement Or Survivors Benefits
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