EP--A little overview of the area. Basically, leaving EPCOT International Gateway, you head toward the EPCOT resorts, you cross a bridge--if you stay straight (a little to the right), you come to Beach Club (5 minutes) first and then continuing around the lake, Yacht Club is next, then the Dolphin, then the Swan (both Dolphin and Swan are a little further off the lake), continuing around the lake, you come to the Boardwalk (first Villas and then the Inn). Now, if instead of staying straight or slight right when you crossed the bridge from EPCOT, you took a left after the bridge, you would come to the Boardwalk first (Inn, then Villas--maybe 10 minutes).
HS--Running right along the side of the Villas is the walkway to Hollywood Studios--I would say a 15 minute walk or so to the main gate or you can take the boat, but it seriously takes less time to walk for the most part--the boat is pretty darn slow--imo. Boardwalk Villas are really the closest to HS of any of the EPCOT resorts.
Hope this helps and I haven't confused you at all.
My last stay was at the Boardwalk (Inn, not Villas) and I absolutely loved it!