Check out N. T. Wright's views on the after-life in Surprised by Hope. The short, short version is that no one really knows what it will be like for sure, but we'll not be playing harps all day. It's a new heavens and a new earth, our glorified bodies will be (at least) physical, and I expect there will be work to do. And it will be done joyfully!
As Jonathan Edwards says in his sermon "The Portion of the Righteous":
There are different degrees of happiness and glory in heaven. As there
are degrees among the angels, viz. thrones, dominions, principalities,
and powers; so there are degrees among the saints. In heaven are many
mansions, and of different degrees of dignity. The glory of the saints
above will be in some proportion to their eminency in holiness and
good works here. Christ will reward all according to their works. He
that gained ten pounds was made ruler over ten cities, and he that
gained five pounds over five cities. Luke 19:17; 2 Cor. 9:6, “He that
soweth sparingly, shall reap sparingly; and he that soweth bountifully
shall reap also bountifully.” And the apostle Paul tells us that, as
one star differs from another star in glory, so also it shall be in
the resurrection of the dead. 1 Cor. 15:41. Christ tells us that he
who gives a cup of cold water unto a disciple in the name of a
disciple, shall in no wise lose his reward. But this could not be
true, if a person should have no greater reward for doing many good
works than if he did but few.
It will be no damp to the happiness of those who have lower degrees of
happiness and glory, that there are others advanced in glory above
them. For all shall be perfectly happy, every one shall be perfectly
satisfied. Every vessel that is cast into this ocean of happiness is
full, though there are some vessels far larger than others. And there
shall be no such thing as envy in heaven, but perfect love shall reign
through the whole society. Those who are not so high in glory as
other, will not envy those that are higher, but they will have so
great, and strong, and pure love to them, that they will rejoice in
their superior happiness.
One might extend this to include differences in roles -- some will farm and make goods or art, while others will rule. None will despise or envy those over them.
If you want to get really far out, we might speculate that the work of the new heavens and new earth could involve colonizing other planets, bringing his image and dominion to all the created universe. The work we may do could require us having new senses and experience new facets or dimensions of reality (what we currently think of as spiritual) in a more direct way. The world itself may be drastically changed -- John Polkinghorne suggests there may be new laws of physics, e.g., no second law of thermodynamics which says all tends toward entropy and chaos. In short, speculations can abound.