The implication of this phrase is that the Lord God has given gifts to each person, without exception. Though no two people have necessarily received identical gifts, none is void of gifts. That also means that 1 Peter 4:10 (as also the commands of 1 Peter 4:7–9) is directed to each reader of this epistle.
10 As each has received a gift, use it to serve one another, as good stewards of God’s varied grace: