At the GUE fundamentals level, we were taught on the basis of the GUE minimum deco table (MDL - minimum deco limit), same as eelronaa described above. What is important to understand, is that in GUE style, this works differently from how you imagine table based planning from other agencies (say PADI’s RDP - recreational dive planner).
First, the MDL table is constructed in such a way, that it is extremely easy to memorize, both for Nitrox32 (which would be GUEs preferred standard gas for such a dive), Trimix 30/30 (same table as EAN32), as well as for air (different table, contrary to common belief air isnt banned, its just not used when there is a better gas available). So a GUE trained diver would not carry a table with them, or look up runtimes in a table. They would have the table memorized and be able to determine MDL (minimum deco limits), as well as emergency deco in case of unplanned MDL violation, on the fly.
Secondly, the GUE way has you monitor average depth (as well as air consumption and a few other things), so you can determine MDL on the fly during a multilevel dive. It isnt the approach of “look up the number before the dive and stick to it”.
This approach is similar, to how decompression is taught at the Tech1 (normoxic trimix) or Tech2 (hypoxic trimix) levels. At these levels, divers also learn how to determine decompression on the fly based on time and average depth. That doesnt mean you dont plan the dives - quite the contrary, you always plan. But it enables you to make moderate adjustments to your plan based on changing environments.
As far as GUE’s current stance on computers, the SOPs (standard operating procedures) state the following:
For completeness, of the five GUE instructors I’ve taken classes with, three or four had a computer on their wrist, and usually not in gauge mode. But the point was to use the computer as an auxiliary tool, not as the primary tool. So at any point in time, you can pass a sound judgement, if what the computer is telling you makes sense. And to have a solid grasp on dive planning.
Edit: to the OP - I have not taken an open water class with GUE, but given GUEs level of standardization, I am assuming that the same approach is taught in Rec1 (open water) as is taught in Fundamentals