Her Wikipedia article includes this:
"Since they (George and Charlotte's oldest daughters) were quickly approaching a marriageable age, Augusta and the Princess Royal were given their first lady-in-waiting in July 1783. Augusta frequently wrote to her elder brother William, who was in Hanover for military training. She was a good correspondent, telling him family news and encouraging him to tell her what was happening in his life. She reveled in his attention and in the little gifts he sent her, even though the Queen tried to discourage William from taking up his sister's valuable time. Though their academic lessons were nearly over, the Queen was loath to have her daughters waste time, and made sure that the Princesses spent hours studying music or art, learning many types of specialty work from different masters.
The Princesses did not 'dress' until dinner, wearing morning gowns nearly all day. Even when 'dressed,' the Royal family often wore plain clothes, far removed from the ornate splendor of other courts. As there were six Princesses, the Queen's expenses even for these clothes was enormous, and she tried to keep costs down and within the allowance she was given. Moving into this new phase of life meant that the amount of money the Queen was spending on her three eldest daughters was rapidly increasing. The Princesses constantly needed dresses, hats, trimmings, fans, and other items. The quarterly expense for their clothes was estimated to be £2000, and the expense of all their servants and tutors added to that. Yet it all paid off in one way: the Princesses were quickly becoming a familiar sight to the public. When their group portrait was exhibited to the people, it was marveled at for the porcelain impersonal beauty they displayed. They were dressed the same, and only their accessories hinted at the very different personalities that lay underneath the painted masks.
By 1785, Augusta and Charlotte were reaching an age where they could be considered as potential brides for foreign Princes. In that year the Prince Royal of Denmark (later King Frederick VI) indicated to King George III that he would break off every other discussed proposal for the hand in marriage of a British Princess. He was also supposed to prefer Augusta to her older sister. However, the King declared that after the horrible treatment of his younger sister by the Prince Royal's father, King Christian VII, he would never send one of his daughters to the Danish court. As their friends and ladies of the court began to get married, the Princesses wondered when their turn would come. In 1797, she received a proposal from Prince Frederick Adolf of Sweden, a proposal given without the approval of the Swedish royal house. A British Princess, especially from so fertile a mother, was a prize, but Augusta's father seemed increasingly unwilling to allow his daughters to marry."