Don't just assume. Take a look! Remove the back cover of your phone, take the battery out and check that there's a microSD card in the relevant slot. (See page 16 of the user manual).
If there is, and your new phone can't access the images, it's probably simply because your old phone labelled the folders differently. (For example, your old phone might have put pictures into a folder called 'Pictures', inside another folder called 'DCIM', whereas your new phone might look for pictures in a folder called 'Images', inside another folder called 'Data' - I've made those examples up, by the way, so don't actually look for those folders on your card!).
If there's a card in the slot, remove it and put it into the microSD card slot in your computer's card reader (if you've got one). If you've only got a slot for a normal SD card, use an adapter (which is usually supplied with every microSD card sold, so you shouldn't have any problem finding someone who owns one). If you've not got a card reader (or you can't get hold of an adapter) head to Poundland and buy one of these:
http://www.poundland.co.uk/signalex-multislot-card-reader-assorted
Once you've plugged the card into your computer you should be able to access its contents in the same way as reading from any other drive, so you'll be able to retrieve all of your photos.