Ah, well now, I haven't yet made it to the fertility clinic (we have another 4 months to go, I think, until we're pushed 'up the line' as it were) but had most of the tests done about 15 months ago (long story, but as soon as we started TTC i started bleeding all over the shop so they did an MOT to check for mmcs and suchlike), before seeing the specialists.
They just had a chat and gave us heaps of forms and bottles and suchlike, and we had to book blood tests (for both), a scan and an extra smear thing for me, and a sample for the OM. Then we had to remember to get them all done and get round to seeing the GP again to talk through the results. It took a while to do all this partly because I honestly thought, every time I had one of the tests, that there was no point booking the follow-up appointment cos I'd be diffed by then anyway
In summary, I doubt you'll have anything done there and then, but will be asked to make bookings over the coming coupla cycles.