Hi there
If you're planning on staying in academia, you'll need to develop a profile to help you in your job hunting. So you need to publish, present at conferences etc. My sup has been brilliant, and we've published 4 articles together - so see if you can be second author on articles you could write together. Also use your sup's network of contacts, they should be looking for you too, to present at conferences, work with people they know etc. Let them know you want professional development, and hopefully, if they're any good, they'll make opportunities for you.