As a new player to the game as well as the series, this game is as much (and maybe more) about logistics than about warfare. So yes there is plenty to do besides moving units around, or maybe I should say there is more to moving them around than looking for a battle. For example just when you figure it is time to move a big stack to North Africa to battle a traitorous ally and solidify your food supply, Rome erupts into food riots and rebel units appear near Rome, and one of your main forces in Spain is running out of supplies and risks being beaten up by a weaker army because of the supply penalties. Just to make things easier, one of your most able generals has changed sides and has joined the enemy.And Caesar, who is in Eastern Italy and was about to cross over by boat tothe East, has been waiting for almost a year because the boats who were to take him across hit a storm and the remainder don't have enough carrying capacity to carry his army; so Caesar has a choice between staying in Italy to restore order in Rome or to use the remaining ships to cross over only part of his army, risking to meet a stronger army over there, since it is unclear where the heck Pompeii is. He could be in Italy, or headed for Spain by ship (you spotted a large enemy fleet a few months ago near Italy's Western shore), or he could be gathering some allies in the East or waiting for you near the coast where you last saw him almost a year ago.
Reading some of the AARs on the AGEOD forums gives a pretty good idea of all this.