John 6:35

And Jesus said unto them, I am the bread of life
Christ is so called, because he gives life to dead sinners: men in a state of nature are dead in trespasses and sins; and whatever they feed upon tends to death; Christ, the true bread, only gives life, which is conveyed by the word, and made effectual by the Spirit: and because he supports and maintains the life he gives; it is not in the power of a believer to support the spiritual life he has; nor can he live on anything short of Christ; and there is enough in Christ for him to live upon: and because he quickens, and makes the saints lively in the exercise of grace, and discharge of duty, and renews their spiritual strength, and secures for them eternal life.

He that cometh to me shall never hunger;
not corporeally to hear him preach, or preached, or merely to his ordinances, to baptism, or the Lord's table; but so as to believe in him, feed, and live upon him, as the next clause explains it:

and he that believeth on me shall never thirst;
and which is owing, not to the power and will of man, but to divine teachings, and the powerful drawings of the efficacious grace of God; see ( John 6:44 John 6:45 ) . Now of such it is said, that they shall never hunger and thirst; which is true of them in this life, though not to be understood as there were no sinful desires in them; much less, that there are no spiritual hungerings and thirstings after they are come to Christ; but that they shall not desire any other food but Christ; they shall be satisfied with him; nor shall they hereafter be in a starving and famishing condition, or want any good thing: and in the other world there will be no desires after that which is sinful, nor indeed after outward ordinances, in order to enjoy communion with God in them, as now, for they will then be needless; nor shall they have any uneasy desires after Christ, and his grace, and the enjoyment of him, since he will be all in all to them.