1. criticize or confront someone for something they have done wrong
Professional
Social
pull someone up on their poor behaviour
The phrasal verb pull up can refer to a vehicle coming to a stop, it can also mean to stop what you are doing. If someone asks you to pull up a chair, it means they expect you to move a chair over to where they are sitting so that you can sit beside them. If you pull someone up on something it means to criticise someone or to expose them for not doing well enough. As a noun, a pull up is an exercise whereby you use your upper body strength to pull the rest of your body up.
2. stop, or bring something close to someone or something
Professional
Social
pull up a chair/pull up outside the house
The phrasal verb pull up can refer to a vehicle coming to a stop, it can also mean to stop what you are doing. If someone asks you to pull up a chair, it means they expect you to move a chair over to where they are sitting so that you can sit beside them.
3. obtain and open a source of information about someone or something
Professional
Social
pull those files/documents up for me
When you are talking about making something appear on a screen or a device you can use 'pull up' in a similar way to 'bring up'. Meaning to make something appear.