Görlitz is about 110km east of Dresden, just off the A4 autobahn; take exit 94 and follow the B6 to the B99 into town.
Trains run regularly between Görlitz and Dresden (€24, one to 1½ hours) via Bautzen (€8.80, 30 minutes). For Berlin (from €44, 2½ hours), change in Cottbus. Trains also run to Zittau (€7.60, 35 minutes). The train station is south of the old town; take Berliner Strasse to get there.