A bilateral trade deal.
Tariffs on goods are mostly eliminated and mutual recognition agreements are agreed for most goods.
Has sovereignty been transferred or pooled?
There is an argument that an agreement that can be departed does not reduce sovereignty, as the parties can exercise their sovereignty by departing the agreement. From that perspective, the answer is no, free trade agreements do not pool sovereignty. The United Kingdom remains sovereign until Europe invades it to enforce the European Union. Contrast that with the lack of sovereignty of the Confederate states of the United States (see the US Civil War).
All treaties act to constrain the parties joining the treaty. That's what a treaty does, set down rules for the parties to follow.
The particular concern with free trade agreements is that they include requirements restricting regulatory requirements. The reason is that countries have been found to restrict trade via regulations that are onerous for foreign companies but easier for domestic companies. Over time, this has been seen as a way of getting around free trade agreements that only specified tariff levels. But it should be obvious that the fix for this constrains legitimate government regulatory activity as well as activity only aimed at restricting trade.
Part of the issue is that it is difficult to tell a legitimate regulation from one that is aimed at restricting trade. Because a regulation can address both purposes. It can have some legitimate goal and it can have a disparate impact on trade.
The EU's solution is to mostly centralize the regulation making in the EU rather than the individual countries. This makes it easier for companies to compete on an EU-wide basis, as there is mostly just one set of regulations with which to comply. But it makes it harder for individual countries to tailor regulations to their own needs. This is what people usually mean when they talk about pooling sovereignty. From that perspective, the answer is yes, the EU is pooling something (perhaps sovereignty is the wrong name).
Other trade agreements like the North American Free Trade Agreement and the Trans-Pacific Partnership have similar provisions allowing for one member to challenge regulatory decisions of other members. The EU though still is at the far end of this, having much more of a government structure than the others.
It really depends on the deal.
The EU's single market is a pooling of sovereignty. Each country has more control than it would on its own, because the EU is such a large and powerful block that it can't be bullied or forced to accept unwanted terms when doing trade deals with non-EU countries. Each member also has a say in EU policy and a veto over many key aspects.
Compare that to the trade deal that the US is currently trying to do with Japan, or the one that would likely be offered to the UK after Brexit. The US wants Japan to lower automotive standards and food standards to accept more US cars and beef. Japan is stalling and trying to wait for a different administration to take over, because it does not want those terms and they would represent a loss of sovereignty and control of Japanese laws. Of course, the US wants the same thing from the UK, having failed to get it from the EU.
It has not been transferred or pooled. It has been made irrelevant. A trade treaty has no military force. Government is only relevant as long as it has this force. When it agrees to a treaty that cannot be enforced or punished for noncompliance it is essentially contradicting itself and whatever happens after that cannot be determined.