If you are looking for another city in Scotland to see then we would recommend going to Edinburgh (the capital city) as it is a bustling city which has deep history and very well-preserved architecture. This is known to be the hilly capital with Edinburgh Castle looking over the city. The Capital of Scotland is home to the Crown Jewels and the Stone of Destiny.
Why not go shopping in Edinburgh as it is full of luxury brands, high street stores and beautiful boutiques. Similar to Glasgow it caters to all styles and budgets. If you are looking for a place to relax after shopping then go explore the Princes Street Gardens which has gorgeous floral displays, monuments etc.
Grassmarket in Edinburgh's Old Town is most popular for it's independent merchants, artisans, galleries and cafes. It is also known to have the best restaurants and bars in the city.
Visit the Royal Yacht Britannia which is a fascinating museum that use to be the Queen's very own yacht but now visitors can tour the State Apartments and Royal Bedrooms.
Also visitors of Edinburgh are more than welcome to take a tour around the Scottish Parliament. If you are lucky enough you might be able to see the public gallery or debating chamber (however, check this before you go to avoid disappointment).
For more things to do in Edinburgh take a look on Edinburgh's Convention Bureau website: https://edinburgh.org/things-to-do/