Yes, Allah will forgive those tho seek pardon.

4:110

Yet whoso doeth evil or wrongeth his own soul, then seeketh pardon of Allah, will find Allah Forgiving, Merciful.

39:153

Say: O My slaves who have been prodigal to their own hurt! Despair not of the mercy of Allah, Who forgiveth all sins. Lo! He is the Forgiving, the Merciful.

No, there are some things and some people that he will never forgive.

4:48

Lo! Allah forgiveth not that a partner should be ascribed unto Him.

4:116

Lo! Allah pardoneth not that partners should be ascribed unto Him.

4:137

Those who believe, then disbelieve and then (again) believe, then disbelieve, and then increase in disbelief, Allah will never pardon them.

4:168

Those who disbelieve and deal in wrong, Allah will never forgive them.

9:80

Ask forgiveness for them (O Muhammad), or ask not forgiveness for them; though thou ask forgiveness for them seventy times Allah will not forgive them. That is because they disbelieved in Allah and His messenger.

47:34

Those who disbelieve and turn from the way of Allah and then die disbelievers, Allah surely will not pardon them.

63:3-6

They believed, then disbelieved, therefore their hearts are sealed so that they understand not. ... Whether thou ask forgiveness for them or ask not forgiveness for them is all one for them; Allah will not forgive them.