You simply need to make use of the git branch command on your Terminal/Console.
List local branches:
-
Example:
git branch
branch-new-123
main
release
staging
ticket-2023
* ticket-2023-07
ticket-2023-08
As you can see, after running the git branch on Terminal I got the list of all branches that I have locally.

Note: The branch that has an * mark before indicates the current branch.
List remote (origin) branches as well:
If you want to display remote branches as well, add a --all flag
Example:git branch --all
Using the --list flag
If you want to get a list of branches based on a pattern match, make use of the --list flag.
Example:% git branch --list 'ticket*'
ticket-2023
* ticket-2023-07
ticket-2023-08

Offical Git Documenation on Branching:
Comments & Discussion
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