It depends where you're buying and what you're buying. We purchase in the Tirol area. It's 1 hour split in to two so we share land rent with our neighbour, plus any costs for work on the external and roof parts of the house.
It's fairly similar to UK but you'll meet with the owner as well as the estate agent when discussing most things, and you'll sign with the owner both on purchase and on final completion at your local town hall. It's all a bit more personal, and they LOVE signing forms and photocopying hundreds of pages of documents.
You can haggle on price, we got around 10% off the asking price.
Some places have various restrictions on what you can buy, for example we couldn't buy the house as a "holiday home" as these are no longer allowed in the area, and we can't rent any rooms out for 2 years. So we have to live here full time for atleast two years (which in our case is fine anyway).
The price you see IS NOT the price you pay. Atleast here in Tirol you have to pay what is shown plus a number of other taxes and fees, so be prepared to add around 15-30% on top of the price shown. Make sure you ask for an estimated total amount including "everything". IT is unlikely you will buy the land so you'll need to budget for land rent, which is a similar price to uk.
If paying outright and from GBP exchange they will ask you to prove the money is not "schwarz geld". You can do this by asking your bank manager in the UK to confirm that the money has been in that account for X years, owned by X etc. Although they never asked us for this in the end. They set up a temporary Austrian account with a bank, you pay the money through to that account, they take the money then they close that account down. I guess this way everything is logged and processed with the bank (who, 9 times out of 10 is the estate agent).
Everything else is pretty much like the UK. Your council rates (service charge) will be a bit lower but you'll find that there are other random charges that come through separately such as rubbish removal.
Buildings insurance is just like in the UK, no problems there. Contents insurance (like in the UK) is not mandatory.
Be clear on what company provides which utility. We found out our electricity is provided by the local water people, the water is provided by the local timber yard(!!) and our broadband was provided by our water people. Obviously you can change all of that yourself but we found ourselves visiting the local water company to discuss our water bill only to be told they provide electricity

Be clear on what you must pay with your neighbour if you're in a building with atleast one other neighbour. They seem to use a points system based on what percentage of the house you own. Various little bits of the deal may already be set up - ie in our house every 7 years we switch the person who pays for the communal hall lighting. It's probably minimal but you never know how many of these agreements have already been set up. Also we had a chimney sweeper (as we share the same chimney as the neighbour) which is all paid for via our neighbour so we have to pay them our share too. Lots of little things like that which, once you have a list of aren't a big deal but it's good to keep it in mind when budgeting.