You didn't provide any dates but there are several avenues you could try. Through Ancestry.com I found the following (if you don't have Ancestry check with your local libraries to see if they have it).
There is a Bruno DeLuca and Rose listed the 1930 census living in Boswell, ages 44 and 39 respectively. Also listed on the same page is Louis DeLuca age 55. It also shows Bruno immigrating in 1912, Rose in 1922 and Louise in 1899. But remember these dates are not hard as fast. They are according to what people remembered.
Bruno's World War I Draft Registration card lists him as born Sept 20, 1886 in Lago, Italy. The card is hard to read but I believe it says he served two years in the Italian Army as a private in the Infantry.
Another WWI Draft Reg. card for Frederico DeLuca, who also lived in Boswell, shows he was born in Lago, Italy in 1895.
The Social Security Death Index lists Bruno as having died in May 1967 and last living in Boswell.
Look for as many relatives as you can. Each record on them might help you to find information on the family going back.
Other avenues would be to get Bruno's obituary and death certificate. These should provide who his parents were.
Check the cemetery where is is buried for a tombstone and the church he attended. Either one may have records of his death and possibly other useful information.
You could also check with the Somerset County Heritage Center to see if they can help you.