The Epcot monorail will drop you off just outside the bag check area, prior to arriving at the turnstiles for park entrance. When you take the monorail from the TTC to Epcot, you will go through Epcot itself before arriving at the platform.
The MK monorail line drops you off just above the bag check area, again, prior to the entrance turnstiles. There are two monorail lines...an Express line, and a Resort line. They both start at the TTC (Transportation and Ticket Center)...which serves as the arrival spot for MK..this is the parking lot for MK. When you take the Express monorail, you go directly between the TTC and MK..no other stops. When you take the Resort line, you will stop at the Polynesian, Grand Floridian, MK, Contemporary, and back to the TTC. The Resort line takes about 25 mins to make a complete run...TTC to TTC. It's about 15 mins between TTC and MK.
If you use the Express monorail line, it's about 8 mins between TTC and MK.