Answer
Before considering if we will actually be able to see God the Father, the Son, and the Holy Spirit, we need to establish that they are three Persons. Without delving too deeply into the doctrine of the Trinity, we should understand that the Father is not the same Person as the Son, the Son is not the same Person as the Holy Spirit, and the Holy Spirit is not the same Person as the Father. Also, they are not three Gods. They are three distinct Persons, yet they are all the one God. Each has a will, can speak, can love, etc., and these are demonstrations of personhood. They are in absolute, perfect harmony and are of one substance. They are coeternal, coequal and co-powerful. If any one of the three were removed, there would be no God.
So, in heaven, there are three Persons of the Godhead. But will we be able to see all three Persons? Revelation 4:3–6 gives us a description of heaven and the throne that is occupied by God and by the Lamb: “The one who sat there had the appearance of jasper and ruby. A rainbow that shone like an emerald encircled the throne. . . . Also in front of the throne there was what looked like a sea of glass, clear as crystal.” Since God dwells in “unapproachable light” and is one “whom no one has seen or can see” (1 Timothy 6:16), God is described in terms of the reflected brilliance of precious stones. First Corinthians 2:9 says, “No eye has seen, no ear has heard, and no mind has imagined what God has prepared for those who love him” (NLT). Because of God’s holiness, it may be that we will never be able to look upon His face, but this is speculation.
Revelation 5:6 tells us that, in heaven, the Lamb stands in the center of the throne, and there are descriptions of Him clothed in brilliant white. Since the Lamb represents Christ Jesus, and we know that human eyes have beheld Him after His resurrection, it seems reasonable to conclude that, in heaven, we will be able to look upon Him.
The Holy Spirit, by the very nature of His being, is able to take various forms at will. When Jesus was baptized, the Holy Spirit descended on Him in the form of a dove (Matthew 3:13–17). At Pentecost, the Holy Spirit was accompanied by a loud rushing noise and was seen as tongues of fire (Acts 2:1–4). It may not be possible to see the Holy Spirit in heaven unless He chooses to manifest Himself in some form, but, again, that is speculation.
Mere mortals do not have the ability to grasp the wonders of heaven—it is entirely beyond our comprehension. Whatever heaven is like, it will far exceed our wildest imaginings! What we know is that we will be worshiping our great God as our hearts are filled with wonder that He died to save sinners.