Warning: This post contains spoilers.... if you want to watch the election and first couple of years of the Clinton administration unfold without knowing the outcome, then read no further.
Clinton has already made it pretty clear how she plans to govern. I trust her in this. Hers will be a administration of incremental change.
She will largely continue the domestic policies of Barack Obama. She will stand up very strongly for women's issues. She will take the established Democratic stance on issues like gun control and immigration. I suspect that the left wing of the party will be disappointed in her immigration actions (as they are with Obama's actions). She will be receptive to groups like Black Lives Matter but will not do nearly as much as they want. She will push back on them to act reasonably.
She will choose a policy initiative to focus on in the next couple of months (like Obama chose healthcare). It will be something that fits safely in the mainstream view of the Democratic base. She will stick with this initiative through her first couple of years in office.
She will choose a safe moderate male running mate who may speak Spanish. She will win comfortably with more than 300 EVs. The debates with Trump will be fun to watch. She will back him into a corner repeatedly.
She will be more hawkish then Obama on foreign policy. She will be willing to use American military power in the Middle East (maybe Syria) and will push on Iran (much more than Obama has). She will have a closer relationship with Netanyahu to the dismay of Palestinians. The number of US troops in hostile situations will increase.
Her relationship with Republicans will continue to be very contentious, and the country will continue to split along party lines with a huge rift between the two.