New York City's libraries and colleges host multiple lectures and presentations. When and where you can, take advantage of these moments, ideas, and wealth of information. Reflect on what you have learned here in this space.
The libraries, in and of themselves, are also historical icons. You could reflect on that also.
The NYC Parks host numerous free concerts, especially in the summer. Check this website regularly for events. Reflect on these events also as you attend them.
Get out and live a little... New York City has so much to offer!