In TFS 2015 we are using the Scrum process template. When I 'group by people' only the tasks are showing up on the board, but not the PBI's (product backlog items) or bugs.
How can I get the PBI's and Bugs that are assigned to my team to show up when I group the backlog by people? Is this possible?
You can't see User Story if you use "Group by: People".
But you can see bugs, you need to configure it according the picture:
Another option: you can install Query based boards extension, This extension allows you to visualize the result of work item queries on a board. The order by clauses of the query are respected on the board.
After installing the extension, navigate to the Work hub, and select Queries. When opening a query, a new tab called Board is available to visualize the results on a board.