Follow your guide to wherever he feels like showing you that day. Mostly non touristic or underated places of Lima, or whatever he feels like showing to you. And find out Peruvian Culture.
You guide will be so happy to change his routine and show off a little bit about how flexible and how creative he can be to do a tour!
Sometimes he will ask you to pick some options on the way, so you don't repeat a place your already know or a topic, or maybe just something you would not do.
For example:
1. Visit tour guide Neighborhood.
2. Talk about anime culture in Peru.
3. Try Bizarre Peruvian Food.
4. Talk about politics and corruption.
5. Doing a Rock and Roll Pub Crawl.
and much more weird ideas...
The time of the tour is Flexible.