Is Jesus Christ really a God ?

Yes, Yes , Yes, Jesus is God!!
Infact we dont see Jesus clearly saying with proud tone,"Yes I am God" in our Holy Scriptures.
It does not mean that he is not God, we should remember he was the only one qualified to be our saviour,
the one who died for us, the lamb of God crushed for mankind on the cross.
 He is the atoning sacrifice for our sins, and not only for ours but also for the sins of the whole world.
-1 John 2:2

Its a  common fact if he was not God then how he is our saviour and how his death was all sufficient to
pay the infinite penalty of our sins on the cross. So it makes everything clear only Jesus Christ[God]
was qualified to pay such a never ending(Infinite) penalty of sins of the world (through Adam and Eve),
grave couldnt hold him-he was resurrected, this proved his immense victory over the sin and death.
God made him who had no sin to be sin for us, so that in him we might become the righteousness of God.
-2 Corinthians 5:21

There are many passages in the Bible which provides hint, clear evidence that Jesus is God:

In John 8 verse 58 Jesus said "I tell you the truth, before Abraham was born, I am!” and
in John 10 verse 30 Jesus said "I and the Father are one" On further reading to 33rd verse we will
be familiar from the reaction of the Jews they tried to stone him for quoting such.
One clear idea we get from this passage is he didn't deny his claim to be God and possessing
same power and status as God. In Hebrews 1 verse 8,  Father declares of Jesus, “But about the Son He says,
’Your throne, O God, will last forever and ever, and righteousness will be the scepter of your kingdom.’”
The Father refers to Jesus as “O God” giving clear indications that Jesus is God.
In Revelation, an angel instructed the apostle John to only worship God

 Thomas said to him, “My Lord and my God!” -John 20:28
Here Thomas speaks about Jesus and more many times in scriptures
Jesus receives the worship and glory from the people.
As we see in the passages of revelation where an Angel corrects John that not to worship him but worship God
At this I fell at his feet to worship him.
But he said to me, “Do not do it! I am a fellow servant with you and
 with your brothers who hold to the testimony of Jesus.
Worship God! For the testimony of Jesus is the spirit of prophecy.”
-Revelation 19:10
If it was so Jesus  would have also corrected them, who worshiped him and told them not to worship him.

Hence all this passages makes sense and claims Jesus Christ is God.
Praise the Lord!