Q1) Short answer is, to have trade routes with others, research sailing, have an open borders treaty with the civ in question, and not be at war with anyone inbetween you and them (part 3 can be ignored if you have Astronomy). However to have more than 1 trade route you need other things, like Currency which gives you +1 trade route.
Q2) The best way to boost coastal commerce early game is building the great lighthouse, this gives you 2 extra trade routes in coastal cities. The other big thing is to have trade routes with cities on other land masses (these get +100% commerce yield).
Later game, you can improve trade route commerce a few ways. One dead simple way is simply to have your cities bigger (this only helps once you get bigger than size 10 though).
Don't set a target though, trade routes are just one weapon in your arsenal to climb the tech tree. Tech trading and city specialisation are more important.